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104172960 = 2535217027
BaseRepresentation
bin1100011010110…
…00110110100000
321021000112102210
412031120312200
5203132013320
614200442120
72403312153
oct615306640
9237015383
10104172960
1153891761
122aa79340
1318775008
14db99c9a
15922b0e0
hex6358da0

104172960 has 48 divisors (see below), whose sum is σ = 328146336. Its totient is φ = 27779328.

The previous prime is 104172941. The next prime is 104172967. The reversal of 104172960 is 69271401.

It is a happy number.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (104172967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108034 + ... + 108993.

It is an arithmetic number, because the mean of its divisors is an integer number (6836382).

Almost surely, 2104172960 is an apocalyptic number.

104172960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104172960 is an abundant number, since it is smaller than the sum of its proper divisors (223973376).

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

104172960 is a wasteful number, since it uses less digits than its factorization.

104172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217045 (or 217037 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 104172960 is about 10206.5155660490. The cubic root of 104172960 is about 470.5274898551.

The spelling of 104172960 in words is "one hundred four million, one hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 217027 434054 651081 868108 1085135 1302162 1736216 2170270 2604324 3255405 3472432 4340540 5208648 6510810 6944864 8681080 10417296 13021620 17362160 20834592 26043240 34724320 52086480 104172960