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140838132 = 223173747397
BaseRepresentation
bin10000110010100…
…00010011110100
3100211000022121010
420121100103310
5242023310012
621550352220
73330050541
oct1031202364
9324008533
10140838132
1172554856
123b1bb670
1323241996
14149c1bc8
15c56ec3c
hex86504f4

140838132 has 96 divisors (see below), whose sum is σ = 365879808. Its totient is φ = 41969664.

The previous prime is 140838121. The next prime is 140838151. The reversal of 140838132 is 231838041.

It is a super-3 number, since 3×1408381323 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140838132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354558 + ... + 354954.

It is an arithmetic number, because the mean of its divisors is an integer number (3811248).

Almost surely, 2140838132 is an apocalyptic number.

140838132 is a gapful number since it is divisible by the number (12) 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 140838132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182939904).

140838132 is an abundant number, since it is smaller than the sum of its proper divisors (225041676).

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

140838132 is a wasteful number, since it uses less digits than its factorization.

140838132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 140838132 is about 11867.5242574010. The cubic root of 140838132 is about 520.2835386616.

Subtracting 140838132 from its reverse (231838041), we obtain a palindrome (90999909).

The spelling of 140838132 in words is "one hundred forty million, eight hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 47 51 68 74 94 102 111 141 148 188 204 222 282 397 444 564 629 794 799 1191 1258 1588 1598 1739 1887 2382 2397 2516 3196 3478 3774 4764 4794 5217 6749 6956 7548 9588 10434 13498 14689 18659 20247 20868 26996 29378 29563 37318 40494 44067 55977 58756 59126 74636 80988 88134 88689 111954 118252 176268 177378 223908 249713 317203 354756 499426 634406 690383 749139 951609 998852 1268812 1380766 1498278 1903218 2071149 2761532 2996556 3806436 4142298 8284596 11736511 23473022 35209533 46946044 70419066 140838132