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27413720 = 2355367193
BaseRepresentation
bin110100010010…
…0110011011000
31220120202112222
41220210303120
524004214340
62415323212
7452004245
oct150446330
956522488
1027413720
1114524374
129220508
1358aaa49
1438d85cc
1526178b5
hex1a24cd8

27413720 has 64 divisors (see below), whose sum is σ = 64113120. Its totient is φ = 10543104.

The previous prime is 27413699. The next prime is 27413731. The reversal of 27413720 is 2731472.

It is a self number, because there is not a number n which added to its sum of digits gives 27413720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141944 + ... + 142136.

Almost surely, 227413720 is an apocalyptic number.

27413720 is a gapful number since it is divisible by the number (20) 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 27413720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32056560).

27413720 is an abundant number, since it is smaller than the sum of its proper divisors (36699400).

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

27413720 is a wasteful number, since it uses less digits than its factorization.

27413720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 27413720 is about 5235.8113029405. The cubic root of 27413720 is about 301.5245358080.

The spelling of 27413720 in words is "twenty-seven million, four hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 67 106 134 193 212 265 268 335 386 424 530 536 670 772 965 1060 1340 1544 1930 2120 2680 3551 3860 7102 7720 10229 12931 14204 17755 20458 25862 28408 35510 40916 51145 51724 64655 71020 81832 102290 103448 129310 142040 204580 258620 409160 517240 685343 1370686 2741372 3426715 5482744 6853430 13706860 27413720