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10007675090 = 2571743257761
BaseRepresentation
bin10010101001000000…
…10000000011010010
3221211110012120100222
421110200100003102
5130443431100330
64333015113042
7502666556210
oct112440200322
927743176328
1010007675090
114276087466
121b33672782
13c36476a4a
146ad19dcb0
153d88c70e5
hex2548100d2

10007675090 has 128 divisors (see below), whose sum is σ = 22421380608. Its totient is φ = 3137863680.

The previous prime is 10007675089. The next prime is 10007675113. The reversal of 10007675090 is 9057670001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10007675090.

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, 13150310 + ... + 13151070.

It is an arithmetic number, because the mean of its divisors is an integer number (175167036).

Almost surely, 210007675090 is an apocalyptic number.

10007675090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10007675090 is an abundant number, since it is smaller than the sum of its proper divisors (12413705518).

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

10007675090 is a wasteful number, since it uses less digits than its factorization.

10007675090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 13230, while the sum is 35.

The spelling of 10007675090 in words is "ten billion, seven million, six hundred seventy-five thousand, ninety".

Divisors: 1 2 5 7 10 14 17 34 35 43 70 85 86 119 170 215 238 257 301 430 514 595 602 731 761 1190 1285 1462 1505 1522 1799 2570 3010 3598 3655 3805 4369 5117 5327 7310 7610 8738 8995 10234 10654 11051 12937 17990 21845 22102 25585 25874 26635 30583 32723 43690 51170 53270 55255 61166 64685 65446 77357 90559 110510 129370 152915 154714 163615 181118 187867 195577 229061 305830 327230 375734 386785 391154 452795 458122 556291 773570 905590 939335 977885 1112582 1145305 1315069 1369039 1878670 1955770 2290610 2630138 2738078 2781455 3324809 3894037 5562910 6575345 6649618 6845195 7788074 8409811 13150690 13690390 16624045 16819622 19470185 23273663 33248090 38940370 42049055 46547326 58868677 84098110 116368315 117737354 142966787 232736630 285933574 294343385 588686770 714833935 1000767509 1429667870 2001535018 5003837545 10007675090