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104714640 = 2433548479
BaseRepresentation
bin1100011110111…
…01000110010000
321022001001111000
412033131012100
5203301332030
614220222000
72411026332
oct617350620
9238031430
10104714640
1154121728
122b09a900
1318904734
14dc9b452
1592d6860
hex63dd190

104714640 has 80 divisors (see below), whose sum is σ = 360691200. Its totient is φ = 27923328.

The previous prime is 104714639. The next prime is 104714657. The reversal of 104714640 is 46417401.

104714640 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 14 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22080 + ... + 26399.

It is an arithmetic number, because the mean of its divisors is an integer number (4508640).

Almost surely, 2104714640 is an apocalyptic number.

104714640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104714640 is an abundant number, since it is smaller than the sum of its proper divisors (255976560).

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

104714640 is a wasteful number, since it uses less digits than its factorization.

104714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48501 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104714640 is about 10233.0171503814. The cubic root of 104714640 is about 471.3416321379.

The spelling of 104714640 in words is "one hundred four million, seven hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 48479 96958 145437 193916 242395 290874 387832 436311 484790 581748 727185 775664 872622 969580 1163496 1308933 1454370 1745244 1939160 2181555 2326992 2617866 2908740 3490488 3878320 4363110 5235732 5817480 6544665 6980976 8726220 10471464 11634960 13089330 17452440 20942928 26178660 34904880 52357320 104714640