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55979130 = 235171953109
BaseRepresentation
bin1101010110001…
…0110001111010
310220100000221010
43111202301322
5103312313010
65315454350
71246546314
oct325426172
9126300833
1055979130
1129664a49
12168b73b6
13b79ca5c
1476127b4
154dab620
hex3562c7a

55979130 has 128 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 12939264.

The previous prime is 55979123. The next prime is 55979153. The reversal of 55979130 is 3197955.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513516 + ... + 513624.

It is an arithmetic number, because the mean of its divisors is an integer number (1202850).

Almost surely, 255979130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55979130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

55979130 is an abundant number, since it is smaller than the sum of its proper divisors (97985670).

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

55979130 is a wasteful number, since it uses less digits than its factorization.

55979130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 55979130 is about 7481.9202080749. The cubic root of 55979130 is about 382.5387034184.

The spelling of 55979130 in words is "fifty-five million, nine hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 53 57 85 95 102 106 109 114 159 170 190 218 255 265 285 318 323 327 510 530 545 570 646 654 795 901 969 1007 1090 1590 1615 1635 1802 1853 1938 2014 2071 2703 3021 3230 3270 3706 4142 4505 4845 5035 5406 5559 5777 6042 6213 9010 9265 9690 10070 10355 11118 11554 12426 13515 15105 17119 17331 18530 20710 27030 27795 28885 30210 31065 34238 34662 35207 51357 55590 57770 62130 70414 85595 86655 98209 102714 105621 109763 171190 173310 176035 196418 211242 219526 256785 294627 329289 352070 491045 513570 528105 548815 589254 658578 982090 1056210 1097630 1473135 1646445 1865971 2946270 3292890 3731942 5597913 9329855 11195826 18659710 27989565 55979130