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55311660 = 2235519599
BaseRepresentation
bin1101001011111…
…1110100101100
310212002010100000
43102333310230
5103124433120
65253304300
71241066325
oct322776454
9125063300
1055311660
1129249518
1216635090
13b5c7cc1
1474bb44c
154cc8990
hex34bfd2c

55311660 has 144 divisors (see below), whose sum is σ = 183456000. Its totient is φ = 13950144.

The previous prime is 55311653. The next prime is 55311667. The reversal of 55311660 is 6611355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55311653) and next prime (55311667).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55311667) 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, 92041 + ... + 92639.

It is an arithmetic number, because the mean of its divisors is an integer number (1274000).

Almost surely, 255311660 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 55311660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

55311660 is an abundant number, since it is smaller than the sum of its proper divisors (128144340).

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

55311660 is a wasteful number, since it uses less digits than its factorization.

55311660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55311660 is about 7437.1809175251. The cubic root of 55311660 is about 381.0122136329.

The spelling of 55311660 in words is "fifty-five million, three hundred eleven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 599 684 810 855 972 1026 1140 1198 1215 1539 1620 1710 1797 2052 2396 2430 2565 2995 3078 3420 3594 4617 4860 5130 5391 5990 6156 7188 7695 8985 9234 10260 10782 11381 11980 15390 16173 17970 18468 21564 22762 23085 26955 30780 32346 34143 35940 45524 46170 48519 53910 56905 64692 68286 80865 92340 97038 102429 107820 113810 136572 145557 161730 170715 194076 204858 227620 242595 291114 307287 323460 341430 409716 485190 512145 582228 614574 682860 727785 921861 970380 1024290 1229148 1455570 1536435 1843722 2048580 2765583 2911140 3072870 3687444 4609305 5531166 6145740 9218610 11062332 13827915 18437220 27655830 55311660