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1055836704 = 253132333631
BaseRepresentation
bin111110111011101…
…100101000100000
32201120202001200010
4332323230220200
54130243233304
6252434124520
735110315056
oct7673545040
92646661603
101055836704
114a1aa081a
12255720740
1313a98a160
14a03241d6
1562a60789
hex3eeeca20

1055836704 has 96 divisors (see below), whose sum is σ = 2998404864. Its totient is φ = 323389440.

The previous prime is 1055836693. The next prime is 1055836711. The reversal of 1055836704 is 4076385501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10558367042 = 2229582291027167232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 288969 + ... + 292599.

It is an arithmetic number, because the mean of its divisors is an integer number (31233384).

Almost surely, 21055836704 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 1055836704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499202432).

1055836704 is an abundant number, since it is smaller than the sum of its proper divisors (1942568160).

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

1055836704 is a wasteful number, since it uses less digits than its factorization.

1055836704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1055836704 is about 32493.6409778898. The cubic root of 1055836704 is about 1018.2761810117.

The spelling of 1055836704 in words is "one billion, fifty-five million, eight hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 233 312 416 466 624 699 932 1248 1398 1864 2796 3029 3631 3728 5592 6058 7262 7456 9087 10893 11184 12116 14524 18174 21786 22368 24232 29048 36348 43572 47203 48464 58096 72696 87144 94406 96928 116192 141609 145392 174288 188812 283218 290784 348576 377624 566436 755248 846023 1132872 1510496 1692046 2265744 2538069 3384092 4531488 5076138 6768184 10152276 10998299 13536368 20304552 21996598 27072736 32994897 40609104 43993196 65989794 81218208 87986392 131979588 175972784 263959176 351945568 527918352 1055836704