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27234740 = 22513312109
BaseRepresentation
bin110011111100…
…1000110110100
31220020200001002
41213321012310
523433002430
62411422432
7450330401
oct147710664
956220032
1027234740
1114411955
129154a18
135847440
14388d2a8
1525ce845
hex19f91b4

27234740 has 72 divisors (see below), whose sum is σ = 64227240. Its totient is φ = 9642240.

The previous prime is 27234721. The next prime is 27234743. The reversal of 27234740 is 4743272.

It can be written as a sum of positive squares in 4 ways, for example, as 1387684 + 25847056 = 1178^2 + 5084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27234743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249806 + ... + 249914.

It is an arithmetic number, because the mean of its divisors is an integer number (892045).

Almost surely, 227234740 is an apocalyptic number.

27234740 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 27234740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32113620).

27234740 is an abundant number, since it is smaller than the sum of its proper divisors (36992500).

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

27234740 is a wasteful number, since it uses less digits than its factorization.

27234740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 27234740 is about 5218.6914068567. The cubic root of 27234740 is about 300.8668999428.

The spelling of 27234740 in words is "twenty-seven million, two hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 109 124 130 155 218 260 310 403 436 545 620 806 961 1090 1417 1612 1922 2015 2180 2834 3379 3844 4030 4805 5668 6758 7085 8060 9610 12493 13516 14170 16895 19220 24986 28340 33790 43927 49972 62465 67580 87854 104749 124930 175708 209498 219635 249860 418996 439270 523745 878540 1047490 1361737 2094980 2723474 5446948 6808685 13617370 27234740