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1055003376 = 243723211647
BaseRepresentation
bin111110111000100…
…001001011110000
32201112011201120010
4332320201023300
54130040102001
6252404214520
735100244410
oct7670411360
92645151503
101055003376
114a1581719
1225539a440
1313a757a6b
14a0188640
15629488d6
hex3ee212f0

1055003376 has 160 divisors (see below), whose sum is σ = 3270647808. Its totient is φ = 286513920.

The previous prime is 1055003371. The next prime is 1055003381. The reversal of 1055003376 is 6733005501.

1055003376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1055003371) and next prime (1055003381).

It is a super-2 number, since 2×10550033762 = 2226064246742794752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055003371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630285 + ... + 1630931.

Almost surely, 21055003376 is an apocalyptic number.

1055003376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055003376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635323904).

1055003376 is an abundant number, since it is smaller than the sum of its proper divisors (2215644432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055003376 is a wasteful number, since it uses less digits than its factorization.

1055003376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1055003376 is about 32480.8155070035. The cubic root of 1055003376 is about 1018.0082161544.

Adding to 1055003376 its reverse (6733005501), we get a palindrome (7788008877).

The spelling of 1055003376 in words is "one billion, fifty-five million, three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 211 276 322 336 368 422 483 552 633 644 647 844 966 1104 1266 1288 1294 1477 1688 1932 1941 2532 2576 2588 2954 3376 3864 3882 4431 4529 4853 5064 5176 5908 7728 7764 8862 9058 9706 10128 10352 11816 13587 14559 14881 15528 17724 18116 19412 23632 27174 29118 29762 31056 33971 35448 36232 38824 44643 54348 58236 59524 67942 70896 72464 77648 89286 101913 104167 108696 116472 119048 135884 136517 178572 203826 208334 217392 232944 238096 271768 273034 312501 357144 407652 409551 416668 543536 546068 625002 714288 815304 819102 833336 955619 1092136 1250004 1630608 1638204 1666672 1911238 2184272 2500008 2866857 3139891 3276408 3822476 5000016 5733714 6279782 6552816 7644952 9419673 11467428 12559564 15289904 18839346 21979237 22934856 25119128 37678692 43958474 45869712 50238256 65937711 75357384 87916948 131875422 150714768 175833896 263750844 351667792 527501688 1055003376