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104418960 = 2435479257
BaseRepresentation
bin1100011100101…
…00111010010000
321021111000212220
412032110322100
5203212401320
614210021040
72405355312
oct616247220
9237430786
10104418960
1153a3a568
122ab77780
131882cc89
14dc217b2
159278e40
hex6394e90

104418960 has 80 divisors (see below), whose sum is σ = 330621696. Its totient is φ = 27249664.

The previous prime is 104418959. The next prime is 104419009. The reversal of 104418960 is 69814401.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652 + ... + 15908.

Almost surely, 2104418960 is an apocalyptic number.

104418960 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 104418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165310848).

104418960 is an abundant number, since it is smaller than the sum of its proper divisors (226202736).

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

104418960 is a wasteful number, since it uses less digits than its factorization.

104418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 104418960 is about 10218.5595853819. The cubic root of 104418960 is about 470.8975755573.

The spelling of 104418960 in words is "one hundred four million, four hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 9257 11280 18514 27771 37028 46285 55542 74056 92570 111084 138855 148112 185140 222168 277710 370280 435079 444336 555420 740560 870158 1110840 1305237 1740316 2175395 2221680 2610474 3480632 4350790 5220948 6526185 6961264 8701580 10441896 13052370 17403160 20883792 26104740 34806320 52209480 104418960