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99735012 = 223213497
BaseRepresentation
bin1011111000111…
…01010111100100
320221200001201100
411330131113210
5201013010022
613521400100
72320506426
oct574352744
9227601640
1099735012
1151330433
1229499030
1317880000
14d362816
158b511ac
hex5f1d5e4

99735012 has 90 divisors (see below), whose sum is σ = 275931838. Its totient is φ = 30371328.

The previous prime is 99735007. The next prime is 99735067. The reversal of 99735012 is 21053799.

It can be written as a sum of positive squares in 5 ways, for example, as 86601636 + 13133376 = 9306^2 + 3624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1028148 + ... + 1028244.

Almost surely, 299735012 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 99735012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137965919).

99735012 is an abundant number, since it is smaller than the sum of its proper divisors (176196826).

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

99735012 is a wasteful number, since it uses less digits than its factorization.

99735012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99735012 is about 9986.7418110213. The cubic root of 99735012 is about 463.7485322399.

The spelling of 99735012 in words is "ninety-nine million, seven hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 169 194 234 291 338 388 468 507 582 676 873 1014 1164 1261 1521 1746 2028 2197 2522 3042 3492 3783 4394 5044 6084 6591 7566 8788 11349 13182 15132 16393 19773 22698 26364 28561 32786 39546 45396 49179 57122 65572 79092 85683 98358 114244 147537 171366 196716 213109 257049 295074 342732 426218 514098 590148 639327 852436 1028196 1278654 1917981 2557308 2770417 3835962 5540834 7671924 8311251 11081668 16622502 24933753 33245004 49867506 99735012