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99941160 = 23351126883
BaseRepresentation
bin1011111010011…
…11101100101000
320222001112111110
411331033230220
5201041104120
613530030320
72322325434
oct575175450
9228045443
1099941160
1151461300
12295783a0
1317922aa7
14d3b79c4
158b922e0
hex5f4fb28

99941160 has 96 divisors (see below), whose sum is σ = 329605920. Its totient is φ = 24224640.

The previous prime is 99941143. The next prime is 99941203. The reversal of 99941160 is 6114999.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11079 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (3433395).

Almost surely, 299941160 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 99941160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164802960).

99941160 is an abundant number, since it is smaller than the sum of its proper divisors (229664760).

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

99941160 is a wasteful number, since it uses less digits than its factorization.

99941160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 99941160 is about 9997.0575671044. The cubic root of 99941160 is about 464.0678284711.

The spelling of 99941160 in words is "ninety-nine million, nine hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 6883 7260 13766 14520 20649 27532 34415 41298 55064 68830 75713 82596 103245 137660 151426 165192 206490 227139 275320 302852 378565 412980 454278 605704 757130 825960 832843 908556 1135695 1514260 1665686 1817112 2271390 2498529 3028520 3331372 4164215 4542780 4997058 6662744 8328430 9085560 9994116 12492645 16656860 19988232 24985290 33313720 49970580 99941160