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55135260 = 223251571951
BaseRepresentation
bin1101001001010…
…0110000011100
310211202011100200
43102110300130
5103103312020
65245423500
71236433125
oct322246034
9124664320
1055135260
1129138a34
121656ab90
13b56591b
14747304c
154c91590
hex3494c1c

55135260 has 72 divisors (see below), whose sum is σ = 168395136. Its totient is φ = 14601600.

The previous prime is 55135253. The next prime is 55135271. The reversal of 55135260 is 6253155.

55135260 is a `hidden beast` number, since 551 + 3 + 52 + 60 = 666.

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 23 ways as a sum of consecutive naturals, for example, 27285 + ... + 29235.

Almost surely, 255135260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55135260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84197568).

55135260 is an abundant number, since it is smaller than the sum of its proper divisors (113259876).

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

55135260 is a wasteful number, since it uses less digits than its factorization.

55135260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55135260 is about 7425.3121146522. The cubic root of 55135260 is about 380.6067407744.

The spelling of 55135260 in words is "fifty-five million, one hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 1951 2355 2826 3140 3902 4710 5652 5853 7065 7804 9420 9755 11706 14130 17559 19510 23412 28260 29265 35118 39020 58530 70236 87795 117060 175590 306307 351180 612614 918921 1225228 1531535 1837842 2756763 3063070 3675684 4594605 5513526 6126140 9189210 11027052 13783815 18378420 27567630 55135260