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99689920 = 26511127223
BaseRepresentation
bin1011111000100…
…10010111000000
320221120202212021
411330102113000
5201010034140
613520411224
72320231111
oct574222700
9227522767
1099689920
11512aa570
1229476b14
1317865625
14d350208
158b42b4a
hex5f125c0

99689920 has 112 divisors (see below), whose sum is σ = 262176768. Its totient is φ = 35804160.

The previous prime is 99689917. The next prime is 99689923. The reversal of 99689920 is 2998699.

It is an interprime number because it is at equal distance from previous prime (99689917) and next prime (99689923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99689923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446929 + ... + 447151.

It is an arithmetic number, because the mean of its divisors is an integer number (2340864).

Almost surely, 299689920 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 99689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088384).

99689920 is an abundant number, since it is smaller than the sum of its proper divisors (162486848).

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

99689920 is a wasteful number, since it uses less digits than its factorization.

99689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 99689920 is about 9984.4839626292. The cubic root of 99689920 is about 463.6786320091.

The spelling of 99689920 in words is "ninety-nine million, six hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 127 160 176 220 223 254 320 352 440 446 508 635 704 880 892 1016 1115 1270 1397 1760 1784 2032 2230 2453 2540 2794 3520 3568 4064 4460 4906 5080 5588 6985 7136 8128 8920 9812 10160 11176 12265 13970 14272 17840 19624 20320 22352 24530 27940 28321 35680 39248 40640 44704 49060 55880 56642 71360 78496 89408 98120 111760 113284 141605 156992 196240 223520 226568 283210 311531 392480 447040 453136 566420 623062 784960 906272 1132840 1246124 1557655 1812544 2265680 2492248 3115310 4531360 4984496 6230620 9062720 9968992 12461240 19937984 24922480 49844960 99689920