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1055665056 = 25337439677
BaseRepresentation
bin111110111011000…
…010101110100000
32201120102100012210
4332323002232200
54130222240211
6252430322120
735106001455
oct7673025640
92646370183
101055665056
114a1993866
12255659340
1313a929ca4
14a02bb82c
1562a299a6
hex3eec2ba0

1055665056 has 96 divisors (see below), whose sum is σ = 2856712320. Its totient is φ = 341093376.

The previous prime is 1055665043. The next prime is 1055665069. The reversal of 1055665056 is 6505665501.

It is an interprime number because it is at equal distance from previous prime (1055665043) and next prime (1055665069).

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

It is a super-2 number, since 2×10556650562 = 2228857420918966272, which contains 22 as substring.

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, 1558990 + ... + 1559666.

It is an arithmetic number, because the mean of its divisors is an integer number (29757420).

Almost surely, 21055665056 is an apocalyptic number.

1055665056 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 1055665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428356160).

1055665056 is an abundant number, since it is smaller than the sum of its proper divisors (1801047264).

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

1055665056 is a wasteful number, since it uses less digits than its factorization.

1055665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 1055665056 is about 32490.9996152781. Note that the first 3 decimals coincide. The cubic root of 1055665056 is about 1018.2209974333.

The spelling of 1055665056 in words is "one billion, fifty-five million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 439 444 592 677 878 888 1184 1317 1354 1756 1776 2031 2634 2708 3512 3552 4062 5268 5416 7024 8124 10536 10832 14048 16243 16248 21072 21664 25049 32486 32496 42144 48729 50098 64972 64992 75147 97458 100196 129944 150294 194916 200392 259888 297203 300588 389832 400784 519776 594406 601176 779664 801568 891609 1188812 1202352 1559328 1783218 2377624 2404704 3566436 4755248 7132872 9510496 10996511 14265744 21993022 28531488 32989533 43986044 65979066 87972088 131958132 175944176 263916264 351888352 527832528 1055665056