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55183680 = 263452129
BaseRepresentation
bin1101001010000…
…0100101000000
310211211121210000
43102200211000
5103111334210
65250440000
71240024236
oct322404500
9124747700
1055183680
1129171352
1216593000
13b581986
147486956
154ca0ac0
hex34a0940

55183680 has 140 divisors (see below), whose sum is σ = 196390260. Its totient is φ = 14708736.

The previous prime is 55183669. The next prime is 55183691. The reversal of 55183680 is 8638155.

It is an interprime number because it is at equal distance from previous prime (55183669) and next prime (55183691).

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 38340864 = 4104^2 + 6192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24856 + ... + 26984.

Almost surely, 255183680 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 55183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98195130).

55183680 is an abundant number, since it is smaller than the sum of its proper divisors (141206580).

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

55183680 is a wasteful number, since it uses less digits than its factorization.

55183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55183680 is about 7428.5718681319. The cubic root of 55183680 is about 380.7181249486.

The spelling of 55183680 in words is "fifty-five million, one hundred eighty-three thousand, six hundred eighty".

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 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2129 2160 2592 2880 3240 4258 4320 5184 6387 6480 8516 8640 10645 12774 12960 17032 19161 21290 25548 25920 31935 34064 38322 42580 51096 57483 63870 68128 76644 85160 95805 102192 114966 127740 136256 153288 170320 172449 191610 204384 229932 255480 287415 306576 340640 344898 383220 408768 459864 510960 574830 613152 681280 689796 766440 862245 919728 1021920 1149660 1226304 1379592 1532880 1724490 1839456 2043840 2299320 2759184 3065760 3448980 3678912 4598640 5518368 6131520 6897960 9197280 11036736 13795920 18394560 27591840 55183680