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99137136 = 24371953293
BaseRepresentation
bin1011110100010…
…11011001110000
320220112200120210
411322023121300
5200334342021
613500504120
72312436360
oct572133160
9226480523
1099137136
1150a6221a
122924b040
1317700b37
14d2489a0
158a83e76
hex5e8b670

99137136 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 26237952.

The previous prime is 99137119. The next prime is 99137141. The reversal of 99137136 is 63173199.

It is a junction number, because it is equal to n+sod(n) for n = 99137094 and 99137103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338206 + ... + 338498.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 299137136 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 99137136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

99137136 is an abundant number, since it is smaller than the sum of its proper divisors (215842704).

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

99137136 is a wasteful number, since it uses less digits than its factorization.

99137136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 99137136 is about 9956.7633295163. The cubic root of 99137136 is about 462.8200050766.

The spelling of 99137136 in words is "ninety-nine million, one hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 53 56 57 76 84 106 112 114 133 152 159 168 212 228 266 293 304 318 336 371 399 424 456 532 586 636 742 798 848 879 912 1007 1064 1113 1172 1272 1484 1596 1758 2014 2051 2128 2226 2344 2544 2968 3021 3192 3516 4028 4102 4452 4688 5567 5936 6042 6153 6384 7032 7049 8056 8204 8904 11134 12084 12306 14064 14098 15529 16112 16408 16701 17808 21147 22268 24168 24612 28196 31058 32816 33402 38969 42294 44536 46587 48336 49224 56392 62116 66804 77938 84588 89072 93174 98448 108703 112784 116907 124232 133608 155876 169176 186348 217406 233814 248464 267216 295051 311752 326109 338352 372696 434812 467628 590102 623504 652218 745392 869624 885153 935256 1180204 1304436 1739248 1770306 1870512 2065357 2360408 2608872 3540612 4130714 4720816 5217744 6196071 7081224 8261428 12392142 14162448 16522856 24784284 33045712 49568568 99137136