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104926080 = 2735737211
BaseRepresentation
bin1100100000100…
…00101110000000
321022102210112010
412100100232000
5203330113310
614224532520
72412566640
oct620205600
9238383463
10104926080
1154256576
122b181140
1318979a4c
14dd14520
159329320
hex6410b80

104926080 has 256 divisors, whose sum is σ = 394421760. Its totient is φ = 23224320.

The previous prime is 104926079. The next prime is 104926097. The reversal of 104926080 is 80629401.

It is a super-2 number, since 2×1049260802 = 22018964528332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 497175 + ... + 497385.

It is an arithmetic number, because the mean of its divisors is an integer number (1540710).

Almost surely, 2104926080 is an apocalyptic number.

104926080 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 104926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197210880).

104926080 is an abundant number, since it is smaller than the sum of its proper divisors (289495680).

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

104926080 is a wasteful number, since it uses less digits than its factorization.

104926080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104926080 is about 10243.3432042473. The cubic root of 104926080 is about 471.6586634898.

The spelling of 104926080 in words is "one hundred four million, nine hundred twenty-six thousand, eighty".