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104077440 = 2733519317
BaseRepresentation
bin1100011010000…
…01100010000000
321020211200102000
412031001202000
5203120434230
614154424000
72402433525
oct615014200
9236750360
10104077440
1153826a15
122aa32000
13187406ac
14db7314c
15920cb60
hex6341880

104077440 has 256 divisors, whose sum is σ = 389232000. Its totient is φ = 26210304.

The previous prime is 104077429. The next prime is 104077453. The reversal of 104077440 is 44770401.

It is a super-2 number, since 2×1040774402 = 21664227033907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 328162 + ... + 328478.

Almost surely, 2104077440 is an apocalyptic number.

104077440 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 104077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194616000).

104077440 is an abundant number, since it is smaller than the sum of its proper divisors (285154560).

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

104077440 is a wasteful number, since it uses less digits than its factorization.

104077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104077440 is about 10201.8351290344. The cubic root of 104077440 is about 470.3836312505.

The spelling of 104077440 in words is "one hundred four million, seventy-seven thousand, four hundred forty".