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1056640376 = 231137437547
BaseRepresentation
bin111110111110110…
…000110101111000
32201122020220002202
4332332300311320
54130444443001
6252503245332
735120203121
oct7676606570
92648226082
101056640376
114a249a610
12255a49848
1313ababbbc
14a0493048
1562b6d96b
hex3efb0d78

1056640376 has 64 divisors (see below), whose sum is σ = 2271646080. Its totient is φ = 456382080.

The previous prime is 1056640373. The next prime is 1056640391. The reversal of 1056640376 is 6730466501.

1056640376 = 81192 + 81202 + ... + 81342.

It is a happy number.

It is a super-2 number, since 2×10566403762 = 2232977768386842752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056640373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136235 + ... + 143781.

It is an arithmetic number, because the mean of its divisors is an integer number (35494470).

Almost surely, 21056640376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056640376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135823040).

1056640376 is an abundant number, since it is smaller than the sum of its proper divisors (1215005704).

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

1056640376 is a wasteful number, since it uses less digits than its factorization.

1056640376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 1056640376 is about 32506.0052298033. The cubic root of 1056640376 is about 1018.5344761635.

The spelling of 1056640376 in words is "one billion, fifty-six million, six hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 37 43 44 74 86 88 148 172 296 344 407 473 814 946 1591 1628 1892 3182 3256 3784 6364 7547 12728 15094 17501 30188 35002 60376 70004 83017 140008 166034 279239 324521 332068 558478 649042 664136 1116956 1298084 2233912 2596168 3071629 3569731 6143258 7139462 12007277 12286516 14278924 24014554 24573032 28557848 48029108 96058216 132080047 264160094 528320188 1056640376