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54630720 = 263356323
BaseRepresentation
bin1101000001100…
…1100101000000
310210210112021000
43100121211000
5102441140340
65230532000
71232232144
oct320314500
9123715230
1054630720
1128923961
1216367000
13b41a091
147381224
154be1d30
hex3419940

54630720 has 112 divisors (see below), whose sum is σ = 192755520. Its totient is φ = 14565888.

The previous prime is 54630703. The next prime is 54630731. The reversal of 54630720 is 2703645.

It is a happy number.

54630720 is a `hidden beast` number, since 5 + 4 + 630 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479 + ... + 11801.

Almost surely, 254630720 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 54630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96377760).

54630720 is an abundant number, since it is smaller than the sum of its proper divisors (138124800).

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

54630720 is a wasteful number, since it uses less digits than its factorization.

54630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54630720 is about 7391.2597031900. The cubic root of 54630720 is about 379.4422102632.

The spelling of 54630720 in words is "fifty-four million, six hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6323 8640 12646 18969 25292 31615 37938 50584 56907 63230 75876 94845 101168 113814 126460 151752 170721 189690 202336 227628 252920 284535 303504 341442 379380 404672 455256 505840 569070 607008 682884 758760 853605 910512 1011680 1138140 1214016 1365768 1517520 1707210 1821024 2023360 2276280 2731536 3035040 3414420 3642048 4552560 5463072 6070080 6828840 9105120 10926144 13657680 18210240 27315360 54630720