Search a number
-
+
56491320 = 23355979101
BaseRepresentation
bin1101011101111…
…1110100111000
310221022001112010
43113133310320
5103430210240
65334445520
71254111504
oct327376470
9127261463
1056491320
1129984846
1216b038a0
13b91bc22
147707304
154e5d280
hex35dfd38

56491320 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 14476800.

The previous prime is 56491319. The next prime is 56491327. The reversal of 56491320 is 2319465.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56491327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559270 + ... + 559370.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 256491320 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 56491320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

56491320 is an abundant number, since it is smaller than the sum of its proper divisors (119764680).

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

56491320 is a wasteful number, since it uses less digits than its factorization.

56491320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 56491320 is about 7516.0707819977. The cubic root of 56491320 is about 383.7018627705.

The spelling of 56491320 in words is "fifty-six million, four hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 79 101 118 120 158 177 202 236 237 295 303 316 354 395 404 472 474 505 590 606 632 708 790 808 885 948 1010 1180 1185 1212 1416 1515 1580 1770 1896 2020 2360 2370 2424 3030 3160 3540 4040 4661 4740 5959 6060 7080 7979 9322 9480 11918 12120 13983 15958 17877 18644 23305 23836 23937 27966 29795 31916 35754 37288 39895 46610 47672 47874 55932 59590 63832 69915 71508 79790 89385 93220 95748 111864 119180 119685 139830 143016 159580 178770 186440 191496 238360 239370 279660 319160 357540 470761 478740 559320 715080 941522 957480 1412283 1883044 2353805 2824566 3766088 4707610 5649132 7061415 9415220 11298264 14122830 18830440 28245660 56491320