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55317360 = 24357191733
BaseRepresentation
bin1101001100000…
…1001101110000
310212002102011010
43103001031300
5103130123420
65253350520
71241122050
oct323011560
9125072133
1055317360
112925282a
1216638440
13b5ca787
1474bd560
154cca4e0
hex34c1370

55317360 has 160 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 11971584.

The previous prime is 55317359. The next prime is 55317377. The reversal of 55317360 is 6371355.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 31054 + ... + 32786.

It is an arithmetic number, because the mean of its divisors is an integer number (1290096).

Almost surely, 255317360 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 55317360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

55317360 is an abundant number, since it is smaller than the sum of its proper divisors (151098000).

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

55317360 is a wasteful number, since it uses less digits than its factorization.

55317360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 55317360 is about 7437.5641173707. The cubic root of 55317360 is about 381.0253012593.

The spelling of 55317360 in words is "fifty-five million, three hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1733 1995 2128 2280 2660 3192 3466 3990 4560 5199 5320 6384 6932 7980 8665 10398 10640 12131 13864 15960 17330 20796 24262 25995 27728 31920 32927 34660 36393 41592 48524 51990 60655 65854 69320 72786 83184 97048 98781 103980 121310 131708 138640 145572 164635 181965 194096 197562 207960 230489 242620 263416 291144 329270 363930 395124 415920 460978 485240 493905 526832 582288 658540 691467 727860 790248 921956 970480 987810 1152445 1317080 1382934 1455720 1580496 1843912 1975620 2304890 2634160 2765868 2911440 3457335 3687824 3951240 4609780 5531736 6914670 7902480 9219560 11063472 13829340 18439120 27658680 55317360