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99380268 = 2232131311621
BaseRepresentation
bin1011110110001…
…10110000101100
320221000001002200
411323012300230
5200420132033
613510021500
72314501251
oct573066054
9227001080
1099380268
1151108959
1229347890
13177876c0
14d2ad428
158ad1013
hex5ec6c2c

99380268 has 72 divisors (see below), whose sum is σ = 272768496. Its totient is φ = 30326400.

The previous prime is 99380257. The next prime is 99380273. The reversal of 99380268 is 86208399.

99380268 is a `hidden beast` number, since 9 + 9 + 380 + 268 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60498 + ... + 62118.

Almost surely, 299380268 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 99380268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136384248).

99380268 is an abundant number, since it is smaller than the sum of its proper divisors (173388228).

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

99380268 is a wasteful number, since it uses less digits than its factorization.

99380268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99380268 is about 9968.9652421904. The cubic root of 99380268 is about 463.1980487090.

The spelling of 99380268 in words is "ninety-nine million, three hundred eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 234 262 393 468 524 786 1179 1572 1621 1703 2358 3242 3406 4716 4863 5109 6484 6812 9726 10218 14589 15327 19452 20436 21073 29178 30654 42146 58356 61308 63219 84292 126438 189657 212351 252876 379314 424702 637053 758628 849404 1274106 1911159 2548212 2760563 3822318 5521126 7644636 8281689 11042252 16563378 24845067 33126756 49690134 99380268