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99410304 = 2737311193
BaseRepresentation
bin1011110110011…
…10000110000000
320221001120022010
411323032012000
5200422112204
613510412520
72314654650
oct573160600
9227046263
1099410304
1151129484
1229361140
1317798286
14d2ba360
158ad9d89
hex5ece180

99410304 has 128 divisors (see below), whose sum is σ = 311777280. Its totient is φ = 27463680.

The previous prime is 99410293. The next prime is 99410317. The reversal of 99410304 is 40301499.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 82732 + ... + 83924.

It is an arithmetic number, because the mean of its divisors is an integer number (2435760).

Almost surely, 299410304 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 99410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155888640).

99410304 is an abundant number, since it is smaller than the sum of its proper divisors (212366976).

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

99410304 is a wasteful number, since it uses less digits than its factorization.

99410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 99410304 is about 9970.4716036906. The cubic root of 99410304 is about 463.2447085926.

The spelling of 99410304 in words is "ninety-nine million, four hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1193 1302 1344 1488 1736 1984 2386 2604 2688 2976 3472 3579 3968 4772 5208 5952 6944 7158 8351 9544 10416 11904 13888 14316 16702 19088 20832 25053 27776 28632 33404 36983 38176 41664 50106 57264 66808 73966 76352 83328 100212 110949 114528 133616 147932 152704 200424 221898 229056 258881 267232 295864 400848 443796 458112 517762 534464 591728 776643 801696 887592 1035524 1068928 1183456 1553286 1603392 1775184 2071048 2366912 3106572 3206784 3550368 4142096 4733824 6213144 7100736 8284192 12426288 14201472 16568384 24852576 33136768 49705152 99410304