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99180480 = 2635714759
BaseRepresentation
bin1011110100101…
…01111111000000
320220121220001010
411322111333000
5200342233410
613501440520
72313006630
oct572257700
9226556033
1099180480
1150a91843
1229270140
1317717799
14d25a6c0
158a91c20
hex5e95fc0

99180480 has 112 divisors (see below), whose sum is σ = 359907840. Its totient is φ = 22668288.

The previous prime is 99180467. The next prime is 99180491. The reversal of 99180480 is 8408199.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×991804802 = 19673535226060800, which contains 22 as substring.

It is a congruent number.

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, 660 + ... + 14099.

Almost surely, 299180480 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 99180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

99180480 is an abundant number, since it is smaller than the sum of its proper divisors (260727360).

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

99180480 is a wasteful number, since it uses less digits than its factorization.

99180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14786 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 99180480 is about 9958.9397025989. The cubic root of 99180480 is about 462.8874454871.

The spelling of 99180480 in words is "ninety-nine million, one hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 14759 29518 44277 59036 73795 88554 103313 118072 147590 177108 206626 221385 236144 295180 309939 354216 413252 442770 472288 516565 590360 619878 708432 826504 885540 944576 1033130 1180720 1239756 1416864 1549695 1653008 1771080 2066260 2361440 2479512 2833728 3099390 3306016 3542160 4132520 4722880 4959024 6198780 6612032 7084320 8265040 9918048 12397560 14168640 16530080 19836096 24795120 33060160 49590240 99180480