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99816840 = 23335293187
BaseRepresentation
bin1011111001100…
…01010110001000
320221211012222000
411330301112020
5201023114330
613523231000
72321300124
oct574612610
9227735860
1099816840
1151386962
1229518460
13178ab326
14d384584
158b6a560
hex5f31588

99816840 has 128 divisors (see below), whose sum is σ = 344304000. Its totient is φ = 25691904.

The previous prime is 99816839. The next prime is 99816853. The reversal of 99816840 is 4861899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29727 + ... + 32913.

It is an arithmetic number, because the mean of its divisors is an integer number (2689875).

Almost surely, 299816840 is an apocalyptic number.

99816840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99816840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172152000).

99816840 is an abundant number, since it is smaller than the sum of its proper divisors (244487160).

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

99816840 is a wasteful number, since it uses less digits than its factorization.

99816840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 99816840 is about 9990.8378027070. The cubic root of 99816840 is about 463.8753256991.

The spelling of 99816840 in words is "ninety-nine million, eight hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3187 3480 3915 5220 6264 6374 7830 9561 10440 12748 15660 15935 19122 25496 28683 31320 31870 38244 47805 57366 63740 76488 86049 92423 95610 114732 127480 143415 172098 184846 191220 229464 277269 286830 344196 369692 382440 430245 462115 554538 573660 688392 739384 831807 860490 924230 1109076 1147320 1386345 1663614 1720980 1848460 2218152 2495421 2772690 3327228 3441960 3696920 4159035 4990842 5545380 6654456 8318070 9981684 11090760 12477105 16636140 19963368 24954210 33272280 49908420 99816840