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99098160 = 2435761967
BaseRepresentation
bin1011110100000…
…01111000110000
320220110201010020
411322001320300
5200332120120
613500003440
72312214630
oct572017060
9226421106
1099098160
1150a35a07
1229230580
13176b9185
14d2386c0
158a77640
hex5e81e30

99098160 has 160 divisors (see below), whose sum is σ = 357215232. Its totient is φ = 22256640.

The previous prime is 99098143. The next prime is 99098161. The reversal of 99098160 is 6189099.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (99098161) 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, 101997 + ... + 102963.

Almost surely, 299098160 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 99098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178607616).

99098160 is an abundant number, since it is smaller than the sum of its proper divisors (258117072).

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

99098160 is a wasteful number, since it uses less digits than its factorization.

99098160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 99098160 is about 9954.8058745512. The cubic root of 99098160 is about 462.7593441989.

The spelling of 99098160 in words is "ninety-nine million, ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 967 976 1220 1281 1464 1680 1708 1830 1934 2135 2440 2562 2901 2928 3416 3660 3868 4270 4835 4880 5124 5802 6405 6769 6832 7320 7736 8540 9670 10248 11604 12810 13538 14505 14640 15472 17080 19340 20307 20496 23208 25620 27076 29010 33845 34160 38680 40614 46416 51240 54152 58020 58987 67690 77360 81228 101535 102480 108304 116040 117974 135380 162456 176961 203070 232080 235948 270760 294935 324912 353922 406140 412909 471896 541520 589870 707844 812280 825818 884805 943792 1179740 1238727 1415688 1624560 1651636 1769610 2064545 2359480 2477454 2831376 3303272 3539220 4129090 4718960 4954908 6193635 6606544 7078440 8258180 9909816 12387270 14156880 16516360 19819632 24774540 33032720 49549080 99098160