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99180160 = 275314999
BaseRepresentation
bin1011110100101…
…01111010000000
320220121212121021
411322111322000
5200342231120
613501435224
72313005662
oct572257200
9226555537
1099180160
1150a91582
122926bb14
13177175b1
14d25a532
158a91aaa
hex5e95e80

99180160 has 64 divisors (see below), whose sum is σ = 244800000. Its totient is φ = 38384640.

The previous prime is 99180157. The next prime is 99180181. The reversal of 99180160 is 6108199.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17341 + ... + 22339.

It is an arithmetic number, because the mean of its divisors is an integer number (3825000).

Almost surely, 299180160 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 99180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400000).

99180160 is an abundant number, since it is smaller than the sum of its proper divisors (145619840).

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

99180160 is a wasteful number, since it uses less digits than its factorization.

99180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 99180160 is about 9958.9236366186. The cubic root of 99180160 is about 462.8869476601.

The spelling of 99180160 in words is "ninety-nine million, one hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 4999 9920 9998 19840 19996 24995 39992 49990 79984 99980 154969 159968 199960 309938 319936 399920 619876 639872 774845 799840 1239752 1549690 1599680 2479504 3099380 3199360 4959008 6198760 9918016 12397520 19836032 24795040 49590080 99180160