Search a number
-
+
56131080 = 23353179191
BaseRepresentation
bin1101011000011…
…1111000001000
310220121202100220
43112013320020
5103332143310
65323030040
71251051315
oct326077010
9126552326
1056131080
1129759125
121696b320
13b823c75
147651d0c
154ddb670
hex3587e08

56131080 has 128 divisors (see below), whose sum is σ = 176947200. Its totient is φ = 14227200.

The previous prime is 56131027. The next prime is 56131099. The reversal of 56131080 is 8013165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56131080.

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, 293785 + ... + 293975.

It is an arithmetic number, because the mean of its divisors is an integer number (1382400).

Almost surely, 256131080 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 56131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88473600).

56131080 is an abundant number, since it is smaller than the sum of its proper divisors (120816120).

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

56131080 is a wasteful number, since it uses less digits than its factorization.

56131080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 56131080 is about 7492.0678053525. The cubic root of 56131080 is about 382.8845123058.

The spelling of 56131080 in words is "fifty-six million, one hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 79 93 120 124 155 158 186 191 237 248 310 316 372 382 395 465 474 573 620 632 744 764 790 930 948 955 1146 1185 1240 1528 1580 1860 1896 1910 2292 2370 2449 2865 3160 3720 3820 4584 4740 4898 5730 5921 7347 7640 9480 9796 11460 11842 12245 14694 15089 17763 19592 22920 23684 24490 29388 29605 30178 35526 36735 45267 47368 48980 58776 59210 60356 71052 73470 75445 88815 90534 97960 118420 120712 142104 146940 150890 177630 181068 226335 236840 293880 301780 355260 362136 452670 467759 603560 710520 905340 935518 1403277 1810680 1871036 2338795 2806554 3742072 4677590 5613108 7016385 9355180 11226216 14032770 18710360 28065540 56131080