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99999960 = 23351914363
BaseRepresentation
bin1011111010111…
…10000011011000
320222011112011020
411331132003120
5201044444320
613531202440
72322662034
oct575360330
9228145136
1099999960
11514a14a5
12295a6420
1317943798
14d3d11c4
158ba4940
hex5f5e0d8

99999960 has 64 divisors (see below), whose sum is σ = 301639680. Its totient is φ = 26520960.

The previous prime is 99999959. The next prime is 99999971. The reversal of 99999960 is 6999999.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99999894 and 99999903.

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, 20739 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (4713120).

Almost surely, 299999960 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 99999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150819840).

99999960 is an abundant number, since it is smaller than the sum of its proper divisors (201639720).

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

99999960 is a wasteful number, since it uses less digits than its factorization.

99999960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 3188646, while the sum is 60.

The square root of 99999960 is about 9999.9979999998. The cubic root of 99999960 is about 464.1588214734.

The spelling of 99999960 in words is "ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4363 4584 5730 7640 8726 11460 13089 17452 21815 22920 26178 34904 43630 52356 65445 87260 104712 130890 174520 261780 523560 833333 1666666 2499999 3333332 4166665 4999998 6666664 8333330 9999996 12499995 16666660 19999992 24999990 33333320 49999980 99999960