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1055004500 = 225311433443
BaseRepresentation
bin111110111000100…
…001011101010100
32201112011210002202
4332320201131110
54130040121000
6252404224032
735100250604
oct7670413524
92645153082
101055004500
114a1582550
1225539b018
1313a758424
14a0188c04
1562948dd5
hex3ee21754

1055004500 has 96 divisors (see below), whose sum is σ = 2525088384. Its totient is φ = 381888000.

The previous prime is 1055004397. The next prime is 1055004539. The reversal of 1055004500 is 54005501.

It is a super-2 number, since 2×10550045002 = 2226068990040500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2381279 + ... + 2381721.

It is an arithmetic number, because the mean of its divisors is an integer number (26303004).

Almost surely, 21055004500 is an apocalyptic number.

1055004500 is a gapful number since it is divisible by the number (10) 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 1055004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262544192).

1055004500 is an abundant number, since it is smaller than the sum of its proper divisors (1470083884).

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

1055004500 is a wasteful number, since it uses less digits than its factorization.

1055004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1055004500 is about 32480.8328095201. The cubic root of 1055004500 is about 1018.0085776827.

The spelling of 1055004500 in words is "one billion, fifty-five million, four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 433 443 500 550 866 886 1100 1375 1732 1772 2165 2215 2750 4330 4430 4763 4873 5500 8660 8860 9526 9746 10825 11075 19052 19492 21650 22150 23815 24365 43300 44300 47630 48730 54125 55375 95260 97460 108250 110750 119075 121825 191819 216500 221500 238150 243650 383638 476300 487300 595375 609125 767276 959095 1190750 1218250 1918190 2110009 2381500 2436500 3836380 4220018 4795475 8440036 9590950 10550045 19181900 21100090 23977375 42200180 47954750 52750225 95909500 105500450 211000900 263751125 527502250 1055004500