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74130560 = 275716547
BaseRepresentation
bin1000110101100…
…10010010000000
312011111020000022
410122302102000
5122434134220
611204513012
71560046040
oct432622200
9164436008
1074130560
1138932429
12209ab768
131248694a
149bb9720
156794925
hex46b2480

74130560 has 64 divisors (see below), whose sum is σ = 202547520. Its totient is φ = 25414656.

The previous prime is 74130559. The next prime is 74130569. The reversal of 74130560 is 6503147.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (74130569) 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, 3794 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (3164805).

Almost surely, 274130560 is an apocalyptic number.

74130560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74130560 is an abundant number, since it is smaller than the sum of its proper divisors (128416960).

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

74130560 is a wasteful number, since it uses less digits than its factorization.

74130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 74130560 is about 8609.9105686412. The cubic root of 74130560 is about 420.0804078856.

The spelling of 74130560 in words is "seventy-four million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 16547 33094 66188 82735 115829 132376 165470 231658 264752 330940 463316 529504 579145 661880 926632 1059008 1158290 1323760 1853264 2118016 2316580 2647520 3706528 4633160 5295040 7413056 9266320 10590080 14826112 18532640 37065280 74130560