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90899880 = 23354771227
BaseRepresentation
bin1010110101100…
…00010110101000
320100001012012020
411122300112220
5141232244010
613004144440
72152431141
oct532602650
9210035166
1090899880
1147346475
1226538120
1315aa8716
14c102ac8
157ea8470
hex56b05a8

90899880 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 23287040.

The previous prime is 90899839. The next prime is 90899881. The reversal of 90899880 is 8899809.

It is not an unprimeable number, because it can be changed into a prime (90899881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400327 + ... + 400553.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 290899880 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 90899880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

90899880 is an abundant number, since it is smaller than the sum of its proper divisors (192768600).

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

90899880 is a wasteful number, since it uses less digits than its factorization.

90899880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The square root of 90899880 is about 9534.1428560726. The cubic root of 90899880 is about 449.6291265224.

The spelling of 90899880 in words is "ninety million, eight hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 71 94 120 141 142 188 213 227 235 282 284 355 376 426 454 470 564 568 681 705 710 852 908 940 1065 1128 1135 1362 1410 1420 1704 1816 1880 2130 2270 2724 2820 2840 3337 3405 4260 4540 5448 5640 6674 6810 8520 9080 10011 10669 13348 13620 16117 16685 20022 21338 26696 27240 32007 32234 33370 40044 42676 48351 50055 53345 64014 64468 66740 80088 80585 85352 96702 100110 106690 128028 128936 133480 160035 161170 193404 200220 213380 241755 256056 320070 322340 386808 400440 426760 483510 640140 644680 757499 967020 1280280 1514998 1934040 2272497 3029996 3787495 4544994 6059992 7574990 9089988 11362485 15149980 18179976 22724970 30299960 45449940 90899880