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56213190 = 236511701
BaseRepresentation
bin1101011001101…
…1111011000110
310220202221000000
43112123323012
5103342310230
65324502130
71251542565
oct326337306
9126687000
1056213190
1129804890
12169aa946
13b852457
147673bdc
154e05b60
hex359bec6

56213190 has 112 divisors (see below), whose sum is σ = 165733776. Its totient is φ = 13608000.

The previous prime is 56213159. The next prime is 56213221. The reversal of 56213190 is 9131265.

56213190 is a `hidden beast` number, since 5 + 621 + 31 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56213159) and next prime (56213221).

It is a super-2 number, since 2×562131902 = 6319845459952200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79840 + ... + 80540.

Almost surely, 256213190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56213190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82866888).

56213190 is an abundant number, since it is smaller than the sum of its proper divisors (109520586).

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

56213190 is a wasteful number, since it uses less digits than its factorization.

56213190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 56213190 is about 7497.5455983942. The cubic root of 56213190 is about 383.0711191434.

The spelling of 56213190 in words is "fifty-six million, two hundred thirteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 701 729 810 891 990 1215 1402 1458 1485 1782 2103 2430 2673 2970 3505 3645 4206 4455 5346 6309 7010 7290 7711 8019 8910 10515 12618 13365 15422 16038 18927 21030 23133 26730 31545 37854 38555 40095 46266 56781 63090 69399 77110 80190 94635 113562 115665 138798 170343 189270 208197 231330 283905 340686 346995 416394 511029 567810 624591 693990 851715 1022058 1040985 1249182 1703430 1873773 2081970 2555145 3122955 3747546 5110290 5621319 6245910 9368865 11242638 18737730 28106595 56213190