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99293880 = 23357432749
BaseRepresentation
bin1011110101100…
…01101010111000
320220211122121010
411322301222320
5200404401010
613504113520
72313661350
oct572615270
9226748533
1099293880
1151059a64
12293058a0
131775729a
14d289b60
158ab5620
hex5eb1ab8

99293880 has 128 divisors (see below), whose sum is σ = 348480000. Its totient is φ = 22159872.

The previous prime is 99293863. The next prime is 99293881. The reversal of 99293880 is 8839299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99293881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34746 + ... + 37494.

It is an arithmetic number, because the mean of its divisors is an integer number (2722500).

Almost surely, 299293880 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 99293880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240000).

99293880 is an abundant number, since it is smaller than the sum of its proper divisors (249186120).

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

99293880 is a wasteful number, since it uses less digits than its factorization.

99293880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 99293880 is about 9964.6314532952. The cubic root of 99293880 is about 463.0637955219.

The spelling of 99293880 in words is "ninety-nine million, two hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 2749 3010 3612 4515 5160 5498 6020 7224 8247 9030 10996 12040 13745 16494 18060 19243 21992 27490 32988 36120 38486 41235 54980 57729 65976 76972 82470 96215 109960 115458 118207 153944 164940 192430 230916 236414 288645 329880 354621 384860 461832 472828 577290 591035 709242 769720 827449 945656 1154580 1182070 1418484 1654898 1773105 2309160 2364140 2482347 2836968 3309796 3546210 4137245 4728280 4964694 6619592 7092420 8274490 9929388 12411735 14184840 16548980 19858776 24823470 33097960 49646940 99293880