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104073504 = 2537115269
BaseRepresentation
bin1100011010000…
…00100100100000
321020211111000020
412031000210200
5203120323004
614154353440
72402416203
oct615004440
9236744006
10104073504
1153823a67
122aa2b880
131873b972
14db7193a
15920b8d9
hex6340920

104073504 has 48 divisors (see below), whose sum is σ = 277058880. Its totient is φ = 34200320.

The previous prime is 104073499. The next prime is 104073517. The reversal of 104073504 is 405370401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (5772060).

Almost surely, 2104073504 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 104073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138529440).

104073504 is an abundant number, since it is smaller than the sum of its proper divisors (172985376).

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

104073504 is a wasteful number, since it uses less digits than its factorization.

104073504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 104073504 is about 10201.6422207407. The cubic root of 104073504 is about 470.3777015206.

The spelling of 104073504 in words is "one hundred four million, seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 15269 30538 45807 61076 91614 122152 183228 244304 366456 488608 732912 1084099 1465824 2168198 3252297 4336396 6504594 8672792 13009188 17345584 26018376 34691168 52036752 104073504