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104775040 = 275315281
BaseRepresentation
bin1100011111010…
…11110110000000
321022011010100001
412033223312000
5203310300130
614221405344
72411400406
oct617536600
9238133301
10104775040
1154163047
122b109854
1318926086
14dcb5476
1592e96ca
hex63ebd80

104775040 has 64 divisors (see below), whose sum is σ = 258606720. Its totient is φ = 40550400.

The previous prime is 104775037. The next prime is 104775053. The reversal of 104775040 is 40577401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 17200 + ... + 22480.

It is an arithmetic number, because the mean of its divisors is an integer number (4040730).

Almost surely, 2104775040 is an apocalyptic number.

104775040 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 104775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129303360).

104775040 is an abundant number, since it is smaller than the sum of its proper divisors (153831680).

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

104775040 is an equidigital number, since it uses as much as digits as its factorization.

104775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 104775040 is about 10235.9679561827. The cubic root of 104775040 is about 471.4322388975.

The spelling of 104775040 in words is "one hundred four million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 5281 9920 10562 19840 21124 26405 42248 52810 84496 105620 163711 168992 211240 327422 337984 422480 654844 675968 818555 844960 1309688 1637110 1689920 2619376 3274220 3379840 5238752 6548440 10477504 13096880 20955008 26193760 52387520 104775040