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54910680 = 233511172447
BaseRepresentation
bin1101000101110…
…1111011011000
310211022202021220
43101131323120
5103024120210
65240532040
71234506306
oct321357330
9124282256
1054910680
1128aa5230
1216481020
13b4b7636
147415276
154c49c70
hex345ded8

54910680 has 128 divisors (see below), whose sum is σ = 190356480. Its totient is φ = 12523520.

The previous prime is 54910679. The next prime is 54910733. The reversal of 54910680 is 8601945.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21217 + ... + 23663.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 254910680 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 54910680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178240).

54910680 is an abundant number, since it is smaller than the sum of its proper divisors (135445800).

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

54910680 is a wasteful number, since it uses less digits than its factorization.

54910680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 54910680 is about 7410.1740870239. The cubic root of 54910680 is about 380.0892680399.

The spelling of 54910680 in words is "fifty-four million, nine hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2447 2805 3740 4488 4894 5610 7341 7480 9788 11220 12235 14682 19576 22440 24470 26917 29364 36705 41599 48940 53834 58728 73410 80751 83198 97880 107668 124797 134585 146820 161502 166396 207995 215336 249594 269170 293640 323004 332792 403755 415990 457589 499188 538340 623985 646008 807510 831980 915178 998376 1076680 1247970 1372767 1615020 1663960 1830356 2287945 2495940 2745534 3230040 3660712 4575890 4991880 5491068 6863835 9151780 10982136 13727670 18303560 27455340 54910680