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54368460 = 223254153139
BaseRepresentation
bin1100111101100…
…1100011001100
310210022012111200
43033121203030
5102404242320
65221145500
71230060426
oct317314314
9123265450
1054368460
1128764913
121625b290
13b3578b3
147313816
154b8e290
hex33d98cc

54368460 has 144 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 13777920.

The previous prime is 54368449. The next prime is 54368467. The reversal of 54368460 is 6486345.

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 not an unprimeable number, because it can be changed into a prime (54368467) 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, 391071 + ... + 391209.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 254368460 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 54368460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

54368460 is an abundant number, since it is smaller than the sum of its proper divisors (118997460).

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

54368460 is a wasteful number, since it uses less digits than its factorization.

54368460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54368460 is about 7373.4971350100. The cubic root of 54368460 is about 378.8340531684.

The spelling of 54368460 in words is "fifty-four million, three hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 53 60 82 90 106 123 139 159 164 180 205 212 246 265 278 318 369 410 417 477 492 530 556 615 636 695 738 795 820 834 954 1060 1230 1251 1390 1476 1590 1668 1845 1908 2085 2173 2385 2460 2502 2780 3180 3690 4170 4346 4770 5004 5699 6255 6519 7367 7380 8340 8692 9540 10865 11398 12510 13038 14734 17097 19557 21730 22101 22796 25020 26076 28495 29468 32595 34194 36835 39114 43460 44202 51291 56990 65190 66303 68388 73670 78228 85485 88404 97785 102582 110505 113980 130380 132606 147340 170970 195570 205164 221010 256455 265212 302047 331515 341940 391140 442020 512910 604094 663030 906141 1025820 1208188 1326060 1510235 1812282 2718423 3020470 3624564 4530705 5436846 6040940 9061410 10873692 13592115 18122820 27184230 54368460