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99770112 = 2832133331
BaseRepresentation
bin1011111001001…
…01111100000000
320221201211212100
411330211330000
5201020120422
613522230400
72321013651
oct574457400
9227654770
1099770112
1151354842
12294b5400
1317892c90
14d371528
158b5b7ac
hex5f25f00

99770112 has 108 divisors (see below), whose sum is σ = 309882664. Its totient is φ = 30689280.

The previous prime is 99770101. The next prime is 99770129. The reversal of 99770112 is 21107799.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 28287 + ... + 31617.

Almost surely, 299770112 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 99770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154941332).

99770112 is an abundant number, since it is smaller than the sum of its proper divisors (210112552).

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

99770112 is a wasteful number, since it uses less digits than its factorization.

99770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 99770112 is about 9988.4989863342. The cubic root of 99770112 is about 463.8029285981.

The spelling of 99770112 in words is "ninety-nine million, seven hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3331 3744 4992 6662 7488 9984 9993 13324 14976 19986 26648 29952 29979 39972 43303 53296 59958 79944 86606 106592 119916 129909 159888 173212 213184 239832 259818 319776 346424 389727 426368 479664 519636 639552 692848 779454 852736 959328 1039272 1279104 1385696 1558908 1918656 2078544 2558208 2771392 3117816 3837312 4157088 5542784 6235632 7674624 8314176 11085568 12471264 16628352 24942528 33256704 49885056 99770112