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99811840 = 295127307
BaseRepresentation
bin1011111001100…
…00001000000000
320221210222002211
411330300020000
5201022434330
613523151504
72321246422
oct574601000
9227728084
1099811840
1151383127
1229515594
13178a8c7b
14d382812
158b68d2a
hex5f30200

99811840 has 80 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 39481344.

The previous prime is 99811819. The next prime is 99811849. The reversal of 99811840 is 4811899.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 99811793 and 99811802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99811849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324967 + ... + 325273.

Almost surely, 299811840 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 99811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256).

99811840 is an abundant number, since it is smaller than the sum of its proper divisors (142172672).

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

99811840 is a wasteful number, since it uses less digits than its factorization.

99811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 99811840 is about 9990.5875703084. The cubic root of 99811840 is about 463.8675801278.

The spelling of 99811840 in words is "ninety-nine million, eight hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 307 320 508 512 614 635 640 1016 1228 1270 1280 1535 2032 2456 2540 2560 3070 4064 4912 5080 6140 8128 9824 10160 12280 16256 19648 20320 24560 32512 38989 39296 40640 49120 65024 77978 78592 81280 98240 155956 157184 162560 194945 196480 311912 325120 389890 392960 623824 779780 785920 1247648 1559560 2495296 3119120 4990592 6238240 9981184 12476480 19962368 24952960 49905920 99811840