Search a number
-
+
90301860 = 223251159773
BaseRepresentation
bin1010110000111…
…10010110100100
320021220210212100
411120132112210
5141104124420
612543252100
72144360505
oct530362644
9207823770
1090301860
1146a78140
12262aa030
131592946c
14bdc8bac
157ddb190
hex561e5a4

90301860 has 144 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 21492480.

The previous prime is 90301823. The next prime is 90301873. The reversal of 90301860 is 6810309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116434 + ... + 117206.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 290301860 is an apocalyptic number.

90301860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90301860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

90301860 is an abundant number, since it is smaller than the sum of its proper divisors (213973020).

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

90301860 is a wasteful number, since it uses less digits than its factorization.

90301860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90301860 is about 9502.7290816902. The cubic root of 90301860 is about 448.6409366062.

The spelling of 90301860 in words is "ninety million, three hundred one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 132 165 177 180 198 220 236 295 330 354 396 495 531 590 649 660 708 773 885 990 1062 1180 1298 1546 1770 1947 1980 2124 2319 2596 2655 3092 3245 3540 3865 3894 4638 5310 5841 6490 6957 7730 7788 8503 9276 9735 10620 11595 11682 12980 13914 15460 17006 19470 23190 23364 25509 27828 29205 34012 34785 38940 42515 45607 46380 51018 58410 69570 76527 85030 91214 102036 116820 127545 136821 139140 153054 170060 182428 228035 255090 273642 306108 382635 410463 456070 501677 510180 547284 684105 765270 820926 912140 1003354 1368210 1505031 1530540 1641852 2006708 2052315 2508385 2736420 3010062 4104630 4515093 5016770 6020124 7525155 8209260 9030186 10033540 15050310 18060372 22575465 30100620 45150930 90301860