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90690288 = 24313237189
BaseRepresentation
bin1010110011111…
…01001011110000
320022122112200120
411121331023300
5141204042123
612555450240
72150566113
oct531751360
9208575616
1090690288
1147212a57
1226456980
1315a341c0
14c08a57a
157e662e3
hex567d2f0

90690288 has 160 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 26019840.

The previous prime is 90690277. The next prime is 90690323. The reversal of 90690288 is 88209609.

It is a congruent number.

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, 1018948 + ... + 1019036.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 290690288 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 90690288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

90690288 is an abundant number, since it is smaller than the sum of its proper divisors (179292432).

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

90690288 is a wasteful number, since it uses less digits than its factorization.

90690288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 90690288 is about 9523.1448587113. The cubic root of 90690288 is about 449.2832837815.

The spelling of 90690288 in words is "ninety million, six hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 71 78 89 92 104 138 142 156 178 184 208 213 267 276 284 299 312 356 368 426 534 552 568 598 624 712 852 897 923 1068 1104 1136 1157 1196 1424 1633 1704 1794 1846 2047 2136 2314 2392 2769 3266 3408 3471 3588 3692 4094 4272 4628 4784 4899 5538 6141 6319 6532 6942 7176 7384 8188 9256 9798 11076 12282 12638 13064 13884 14352 14768 16376 18512 18957 19596 21229 22152 24564 25276 26128 26611 27768 32752 37914 39192 42458 44304 49128 50552 53222 55536 63687 75828 78384 79833 82147 84916 98256 101104 106444 127374 145337 151656 159666 164294 169832 212888 246441 254748 290674 303312 319332 328588 339664 425776 436011 492882 509496 581348 638664 657176 872022 985764 1018992 1162696 1277328 1314352 1744044 1889381 1971528 2325392 3488088 3778762 3943056 5668143 6976176 7557524 11336286 15115048 22672572 30230096 45345144 90690288