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1055839680 = 26325783631
BaseRepresentation
bin111110111011101…
…101010111000000
32201120202012202100
4332323231113000
54130243332210
6252434150400
735110326540
oct7673552700
92646665670
101055839680
114a1aa2a85
12255722400
1313a98b60c
14a0325320
1562a615c0
hex3eeed5c0

1055839680 has 336 divisors, whose sum is σ = 4207117824. Its totient is φ = 238049280.

The previous prime is 1055839669. The next prime is 1055839693. The reversal of 1055839680 is 869385501.

1055839680 is a `hidden beast` number, since 1 + 0 + 5 + 583 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10558396802 = 2229594859725004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672965 + ... + 1673595.

It is an arithmetic number, because the mean of its divisors is an integer number (12521184).

Almost surely, 21055839680 is an apocalyptic number.

1055839680 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 1055839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103558912).

1055839680 is an abundant number, since it is smaller than the sum of its proper divisors (3151278144).

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

1055839680 is a wasteful number, since it uses less digits than its factorization.

1055839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1055839680 is about 32493.6867714330. The cubic root of 1055839680 is about 1018.2771377212.

The spelling of 1055839680 in words is "one billion, fifty-five million, eight hundred thirty-nine thousand, six hundred eighty".