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54204160 = 285174753
BaseRepresentation
bin1100111011000…
…1011100000000
310202222212010111
43032301130000
5102334013120
65213441104
71225504423
oct316613400
9122885114
1054204160
112866242a
12161a0194
13b2cab8a
1472ad9ba
154b5a75a
hex33b1700

54204160 has 144 divisors (see below), whose sum is σ = 143047296. Its totient is φ = 19595264.

The previous prime is 54204053. The next prime is 54204193. The reversal of 54204160 is 6140245.

It is a super-2 number, since 2×542041602 = 5876181922611200, which contains 22 as substring.

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, 1022694 + ... + 1022746.

It is an arithmetic number, because the mean of its divisors is an integer number (993384).

Almost surely, 254204160 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 54204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71523648).

54204160 is an abundant number, since it is smaller than the sum of its proper divisors (88843136).

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

54204160 is a wasteful number, since it uses less digits than its factorization.

54204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54204160 is about 7362.3474517303. The cubic root of 54204160 is about 378.4520594001.

The spelling of 54204160 in words is "fifty-four million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 53 64 68 80 85 94 106 128 136 160 170 188 212 235 256 265 272 320 340 376 424 470 530 544 640 680 752 799 848 901 940 1060 1088 1280 1360 1504 1598 1696 1802 1880 2120 2176 2491 2720 3008 3196 3392 3604 3760 3995 4240 4352 4505 4982 5440 6016 6392 6784 7208 7520 7990 8480 9010 9964 10880 12032 12455 12784 13568 14416 15040 15980 16960 18020 19928 21760 24910 25568 28832 30080 31960 33920 36040 39856 42347 49820 51136 57664 60160 63920 67840 72080 79712 84694 99640 102272 115328 127840 144160 159424 169388 199280 204544 211735 230656 255680 288320 318848 338776 398560 423470 511360 576640 637696 677552 797120 846940 1022720 1153280 1355104 1594240 1693880 2710208 3188480 3387760 5420416 6775520 10840832 13551040 27102080 54204160