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99165060 = 22345411493
BaseRepresentation
bin1011110100100…
…10001110000100
320220121002220000
411322102032010
5200341240220
613501241300
72312613651
oct572221604
9226532800
1099165060
1150a811a5
1229263230
1317710767
14d254c28
158a8c390
hex5e92384

99165060 has 120 divisors (see below), whose sum is σ = 318885336. Its totient is φ = 25781760.

The previous prime is 99165041. The next prime is 99165089. The reversal of 99165060 is 6056199.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 93083904 = 2466^2 + 9648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65674 + ... + 67166.

Almost surely, 299165060 is an apocalyptic number.

99165060 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 99165060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159442668).

99165060 is an abundant number, since it is smaller than the sum of its proper divisors (219720276).

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

99165060 is a wasteful number, since it uses less digits than its factorization.

99165060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99165060 is about 9958.1654937041. The cubic root of 99165060 is about 462.8634552343.

The spelling of 99165060 in words is "ninety-nine million, one hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1493 1620 1845 2214 2460 2986 3321 3690 4428 4479 5535 5972 6642 7380 7465 8958 11070 13284 13437 14930 16605 17916 22140 22395 26874 29860 33210 40311 44790 53748 61213 66420 67185 80622 89580 120933 122426 134370 161244 183639 201555 241866 244852 268740 306065 367278 403110 483732 550917 604665 612130 734556 806220 918195 1101834 1209330 1224260 1652751 1836390 2203668 2418660 2754585 3305502 3672780 4958253 5509170 6611004 8263755 9916506 11018340 16527510 19833012 24791265 33055020 49582530 99165060