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100098960 = 24351332083
BaseRepresentation
bin1011111011101…
…10001110010000
320222100112221220
411331312032100
5201111131320
613533245040
72323553463
oct575661620
9228315856
10100098960
1151559915
1229633780
1317979870
14d4192da
158bc3e40
hex5f76390

100098960 has 80 divisors (see below), whose sum is σ = 334186944. Its totient is φ = 24638976.

The previous prime is 100098959. The next prime is 100098989. The reversal of 100098960 is 69890001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12922 + ... + 19161.

Almost surely, 2100098960 is an apocalyptic number.

100098960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100098960 is an abundant number, since it is smaller than the sum of its proper divisors (234087984).

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

100098960 is a wasteful number, since it uses less digits than its factorization.

100098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32112 (or 32106 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 100098960 is about 10004.9467764701. The cubic root of 100098960 is about 464.3119434266.

The spelling of 100098960 in words is "one hundred million, ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 32083 64166 96249 128332 160415 192498 256664 320830 384996 417079 481245 513328 641660 769992 834158 962490 1251237 1283320 1539984 1668316 1924980 2085395 2502474 2566640 3336632 3849960 4170790 5004948 6256185 6673264 7699920 8341580 10009896 12512370 16683160 20019792 25024740 33366320 50049480 100098960