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99811320 = 23357313833
BaseRepresentation
bin1011111001011…
…11111111111000
320221210221101120
411330233333320
5201022430240
613523145240
72321245050
oct574577770
9227727346
1099811320
11513827a4
1229515220
13178a896b
14d382560
158b68ad0
hex5f2fff8

99811320 has 128 divisors (see below), whose sum is σ = 353341440. Its totient is φ = 22072320.

The previous prime is 99811319. The next prime is 99811333. The reversal of 99811320 is 2311899.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24124 + ... + 27956.

It is an arithmetic number, because the mean of its divisors is an integer number (2760480).

Almost surely, 299811320 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 99811320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176670720).

99811320 is an abundant number, since it is smaller than the sum of its proper divisors (253530120).

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

99811320 is a wasteful number, since it uses less digits than its factorization.

99811320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 99811320 is about 9990.5615457791. The cubic root of 99811320 is about 463.8667745735.

The spelling of 99811320 in words is "ninety-nine million, eight hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 3833 4340 5208 6510 7666 8680 11499 13020 15332 19165 22998 26040 26831 30664 38330 45996 53662 57495 76660 80493 91992 107324 114990 118823 134155 153320 160986 214648 229980 237646 268310 321972 356469 402465 459960 475292 536620 594115 643944 712938 804930 831761 950584 1073240 1188230 1425876 1609860 1663522 1782345 2376460 2495283 2851752 3219720 3327044 3564690 4158805 4752920 4990566 6654088 7129380 8317610 9981132 12476415 14258760 16635220 19962264 24952830 33270440 49905660 99811320