Search a number
-
+
90122604 = 2231113291811
BaseRepresentation
bin1010101111100…
…10100101101100
320021120200222020
411113302211230
5141032410404
612535350140
72143013055
oct527624554
9207520866
1090122604
11469654a0
1226222350
13158959b0
14bd7d72c
157da2ed9
hex55f296c

90122604 has 96 divisors (see below), whose sum is σ = 255709440. Its totient is φ = 24326400.

The previous prime is 90122563. The next prime is 90122621. The reversal of 90122604 is 40622109.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48859 + ... + 50669.

It is an arithmetic number, because the mean of its divisors is an integer number (2663640).

Almost surely, 290122604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90122604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127854720).

90122604 is an abundant number, since it is smaller than the sum of its proper divisors (165586836).

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

90122604 is a wasteful number, since it uses less digits than its factorization.

90122604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90122604 is about 9493.2925795005. The cubic root of 90122604 is about 448.3438779307.

The spelling of 90122604 in words is "ninety million, one hundred twenty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1811 1914 2262 3622 3828 4147 4524 5433 7244 8294 10866 12441 16588 19921 21732 23543 24882 39842 47086 49764 52519 59763 70629 79684 94172 105038 119526 141258 157557 210076 239052 258973 282516 315114 517946 577709 630228 682747 776919 1035892 1155418 1365494 1553838 1733127 2048241 2310836 2730988 3107676 3466254 4096482 6932508 7510217 8192964 15020434 22530651 30040868 45061302 90122604