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742262130 = 234543101211
BaseRepresentation
bin101100001111100…
…000010101110010
31220201200211020000
4230033200111302
53010004342010
6201353130430
724252060351
oct5417402562
91821624200
10742262130
11350a95585
121886b9a16
13baa1877c
1470819998
154526e7c0
hex2c3e0572

742262130 has 160 divisors (see below), whose sum is σ = 2072271168. Its totient is φ = 190512000.

The previous prime is 742262077. The next prime is 742262197. The reversal of 742262130 is 31262247.

742262130 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 621 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 742262094 and 742262103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3517725 + ... + 3517935.

Almost surely, 2742262130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742262130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036135584).

742262130 is an abundant number, since it is smaller than the sum of its proper divisors (1330009038).

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

742262130 is a wasteful number, since it uses less digits than its factorization.

742262130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 742262130 is about 27244.4880663961. The cubic root of 742262130 is about 905.4249014596.

The spelling of 742262130 in words is "seven hundred forty-two million, two hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 101 129 135 162 202 211 215 258 270 303 387 405 422 430 505 606 633 645 774 810 909 1010 1055 1161 1266 1290 1515 1818 1899 1935 2110 2322 2727 3030 3165 3483 3798 3870 4343 4545 5454 5697 5805 6330 6966 8181 8686 9073 9090 9495 11394 11610 13029 13635 16362 17091 17415 18146 18990 21311 21715 26058 27219 27270 28485 34182 34830 39087 40905 42622 43430 45365 54438 56970 63933 65145 78174 81657 81810 85455 90730 106555 117261 127866 130290 136095 163314 170910 191799 195435 213110 234522 244971 272190 319665 351783 383598 390870 408285 489942 575397 586305 639330 703566 734913 816570 916373 958995 1150794 1172610 1224855 1469826 1726191 1758915 1832746 1917990 2449710 2749119 2876985 3452382 3517830 3674565 4581865 5498238 5753970 7349130 8247357 8630955 9163730 13745595 16494714 17261910 24742071 27491190 41236785 49484142 74226213 82473570 123710355 148452426 247420710 371131065 742262130