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104174040 = 23357112227
BaseRepresentation
bin1100011010110…
…01000111011000
321021000120220210
412031121013120
5203132032130
614200451120
72403315255
oct615310730
9237016823
10104174040
1153892553
122aa79aa0
1318775659
14db9a42c
15922b5b0
hex63591d8

104174040 has 64 divisors (see below), whose sum is σ = 316949760. Its totient is φ = 27386240.

The previous prime is 104174033. The next prime is 104174087. The reversal of 104174040 is 40471401.

It is a junction number, because it is equal to n+sod(n) for n = 104173998 and 104174016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (4952340).

Almost surely, 2104174040 is an apocalyptic number.

104174040 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 104174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158474880).

104174040 is an abundant number, since it is smaller than the sum of its proper divisors (212775720).

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

104174040 is a wasteful number, since it uses less digits than its factorization.

104174040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 104174040 is about 10206.5684732921. The cubic root of 104174040 is about 470.5291158943.

The spelling of 104174040 in words is "one hundred four million, one hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 12227 24454 36681 48908 61135 73362 97816 122270 146724 183405 244540 293448 366810 489080 733620 868117 1467240 1736234 2604351 3472468 4340585 5208702 6944936 8681170 10417404 13021755 17362340 20834808 26043510 34724680 52087020 104174040