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432139092 = 2237112916127
BaseRepresentation
bin11001110000011…
…110101101010100
31010010010221101120
4121300132231110
51341111422332
6110514123540
713465056510
oct3160365524
91103127346
10432139092
11201a27550
121008805b0
136b6b5108
144156d140
1527e1132c
hex19c1eb54

432139092 has 96 divisors (see below), whose sum is σ = 1300561920. Its totient is φ = 108366720.

The previous prime is 432139091. The next prime is 432139093. The reversal of 432139092 is 290931234.

It is an interprime number because it is at equal distance from previous prime (432139091) and next prime (432139093).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432139091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18733 + ... + 34859.

It is an arithmetic number, because the mean of its divisors is an integer number (13547520).

Almost surely, 2432139092 is an apocalyptic number.

432139092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432139092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

432139092 is an abundant number, since it is smaller than the sum of its proper divisors (868422828).

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

432139092 is a wasteful number, since it uses less digits than its factorization.

432139092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16181 (or 16179 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 432139092 is about 20787.9554550225. The cubic root of 432139092 is about 756.0337531471.

The spelling of 432139092 in words is "four hundred thirty-two million, one hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 16127 26796 32254 48381 64508 96762 112889 177397 193524 225778 338667 354794 451556 467683 532191 677334 709588 935366 1064382 1241779 1354668 1403049 1870732 2128764 2483558 2806098 3273781 3725337 4967116 5144513 5612196 6547562 7450674 9821343 10289026 13095124 14901348 15433539 19642686 20578052 30867078 36011591 39285372 61734156 72023182 108034773 144046364 216069546 432139092