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104814120 = 23352930119
BaseRepresentation
bin1100011111101…
…01011000101000
321022020002221110
412033311120220
5203313022440
614222310320
72411622345
oct617653050
9238202843
10104814120
115418a444
122b1283a0
131893aab8
14dcc57cc
159306080
hex63f5628

104814120 has 64 divisors (see below), whose sum is σ = 325296000. Its totient is φ = 26985728.

The previous prime is 104814113. The next prime is 104814121. The reversal of 104814120 is 21418401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104814121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11580 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (5082750).

Almost surely, 2104814120 is an apocalyptic number.

104814120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104814120 is an abundant number, since it is smaller than the sum of its proper divisors (220481880).

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

104814120 is a wasteful number, since it uses less digits than its factorization.

104814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30162 (or 30158 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 104814120 is about 10237.8767329950. The cubic root of 104814120 is about 471.4908447187.

The spelling of 104814120 in words is "one hundred four million, eight hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 30119 60238 90357 120476 150595 180714 240952 301190 361428 451785 602380 722856 873451 903570 1204760 1746902 1807140 2620353 3493804 3614280 4367255 5240706 6987608 8734510 10481412 13101765 17469020 20962824 26203530 34938040 52407060 104814120