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890016930 = 233511417309
BaseRepresentation
bin110101000011001…
…001010010100010
32022000201112201000
4311003021102202
53310321020210
6224152052430
731025006355
oct6503112242
92260645630
10890016930
11417433990
1220a094116
1311250c74a
14862bc29c
1553208ac0
hex350c94a2

890016930 has 128 divisors (see below), whose sum is σ = 2652652800. Its totient is φ = 210470400.

The previous prime is 890016893. The next prime is 890016979. The reversal of 890016930 is 39610098.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 118116 + ... + 125424.

It is an arithmetic number, because the mean of its divisors is an integer number (20723850).

Almost surely, 2890016930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890016930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326326400).

890016930 is an abundant number, since it is smaller than the sum of its proper divisors (1762635870).

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

890016930 is a wasteful number, since it uses less digits than its factorization.

890016930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 890016930 is about 29833.1515264479. The cubic root of 890016930 is about 961.9062708087.

The spelling of 890016930 in words is "eight hundred ninety million, sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 410 451 495 594 615 738 902 990 1107 1230 1353 1485 1845 2214 2255 2706 2970 3690 4059 4510 5535 6765 7309 8118 11070 12177 13530 14618 20295 21927 24354 36545 40590 43854 60885 65781 73090 80399 109635 121770 131562 160798 197343 219270 241197 299669 328905 394686 401995 482394 599338 657810 723591 803990 899007 986715 1205985 1447182 1498345 1798014 1973430 2170773 2411970 2697021 2996690 3296359 3617955 4341546 4495035 5394042 6592718 7235910 8091063 8990070 9889077 10853865 13485105 16182126 16481795 19778154 21707730 26970210 29667231 32963590 40455315 49445385 59334462 80910630 89001693 98890770 148336155 178003386 296672310 445008465 890016930