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54870660 = 2232513131179
BaseRepresentation
bin1101000101010…
…0001010000100
310211020201101200
43101110022010
5103021330120
65240022500
71234251525
oct321241204
9124221350
1054870660
1128a78159
1216461a30
13b4a2360
14740484c
154c3ce90
hex3454284

54870660 has 144 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 13328640.

The previous prime is 54870559. The next prime is 54870661. The reversal of 54870660 is 6607845.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54870661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306451 + ... + 306629.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 254870660 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 54870660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

54870660 is an abundant number, since it is smaller than the sum of its proper divisors (126750780).

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

54870660 is a wasteful number, since it uses less digits than its factorization.

54870660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54870660 is about 7407.4732534110. The cubic root of 54870660 is about 379.9969067154.

The spelling of 54870660 in words is "fifty-four million, eight hundred seventy thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 179 180 195 234 260 262 358 390 393 468 524 537 585 655 716 780 786 895 1074 1170 1179 1310 1572 1611 1703 1790 1965 2148 2327 2340 2358 2620 2685 3222 3406 3580 3930 4654 4716 5109 5370 5895 6444 6812 6981 7860 8055 8515 9308 10218 10740 11635 11790 13962 15327 16110 17030 20436 20943 23270 23449 23580 25545 27924 30654 32220 34060 34905 41886 46540 46898 51090 61308 69810 70347 76635 83772 93796 102180 104715 117245 139620 140694 153270 209430 211041 234490 281388 304837 306540 351735 418860 422082 468980 609674 703470 844164 914511 1055205 1219348 1406940 1524185 1829022 2110410 2743533 3048370 3658044 4220820 4572555 5487066 6096740 9145110 10974132 13717665 18290220 27435330 54870660