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139432293 = 33721121367
BaseRepresentation
bin10000100111110…
…01000101100101
3100201100220011000
420103321011211
5241143313133
621500303513
73312104100
oct1023710545
9321326130
10139432293
1171784600
123a841b99
1322b6bb20
1414737737
15c393413
hex84f9165

139432293 has 144 divisors (see below), whose sum is σ = 288684480. Its totient is φ = 65862720.

The previous prime is 139432289. The next prime is 139432297. The reversal of 139432293 is 392234931.

139432293 is a `hidden beast` number, since 139 + 432 + 2 + 93 = 666.

It is an interprime number because it is at equal distance from previous prime (139432289) and next prime (139432297).

It is not a de Polignac number, because 139432293 - 22 = 139432289 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139432297) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2081046 + ... + 2081112.

Almost surely, 2139432293 is an apocalyptic number.

139432293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

139432293 is an abundant number, since it is smaller than the sum of its proper divisors (149252187).

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

139432293 is a wasteful number, since it uses less digits than its factorization.

139432293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 139432293 is about 11808.1451972780. The cubic root of 139432293 is about 518.5465985750.

The spelling of 139432293 in words is "one hundred thirty-nine million, four hundred thirty-two thousand, two hundred ninety-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 67 77 91 99 117 121 143 147 189 201 231 273 297 351 363 429 441 469 539 603 637 693 737 819 847 871 1001 1089 1287 1323 1407 1573 1617 1809 1911 2079 2211 2457 2541 2613 3003 3267 3283 3861 4221 4719 4851 5159 5733 5929 6097 6633 7007 7623 7839 8107 9009 9581 9849 11011 12663 14157 14553 15477 17199 17787 18291 19899 21021 22869 23517 24321 27027 28743 29547 33033 36113 42471 42679 46431 53361 54873 56749 63063 67067 72963 77077 86229 88641 99099 105391 108339 128037 139293 160083 164619 170247 189189 201201 218889 231231 258687 297297 316173 325017 384111 397243 469469 510741 603603 693693 737737 948519 975051 1152333 1191729 1408407 1532223 1810809 2081079 2213211 2845557 3575187 4225221 5164159 6639633 10725561 12675663 15492477 19918899 46477431 139432293