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1055204672 = 261923291301
BaseRepresentation
bin111110111001010…
…010010101000000
32201112112221200112
4332321102111000
54130113022142
6252412410452
735102043314
oct7671222500
92645487615
101055204672
114a16a9985
12255476a28
1313a7c8582
14a01dbb44
1562988382
hex3ee52540

1055204672 has 112 divisors (see below), whose sum is σ = 2381097600. Its totient is φ = 461260800.

The previous prime is 1055204669. The next prime is 1055204687. The reversal of 1055204672 is 2764025501.

It is a super-2 number, since 2×10552046722 = 2226913799621255168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810422 + ... + 811722.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 21055204672 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 1055204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190548800).

1055204672 is an abundant number, since it is smaller than the sum of its proper divisors (1325892928).

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

1055204672 is a wasteful number, since it uses less digits than its factorization.

1055204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1055204672 is about 32483.9140498801. The cubic root of 1055204672 is about 1018.0729577956.

The spelling of 1055204672 in words is "one billion, fifty-five million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 29 32 38 46 58 64 76 92 116 152 184 232 304 368 437 464 551 608 667 736 874 928 1102 1216 1301 1334 1472 1748 1856 2204 2602 2668 3496 4408 5204 5336 6992 8816 10408 10672 12673 13984 17632 20816 21344 24719 25346 27968 29923 35264 37729 41632 42688 49438 50692 59846 75458 83264 98876 101384 119692 150916 197752 202768 239384 301832 395504 405536 478768 568537 603664 716851 791008 811072 867767 957536 1137074 1207328 1433702 1582016 1735534 1915072 2274148 2414656 2867404 3471068 4548296 5734808 6942136 9096592 11469616 13884272 16487573 18193184 22939232 27768544 32975146 36386368 45878464 55537088 65950292 131900584 263801168 527602336 1055204672