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141685992 = 23327733851
BaseRepresentation
bin10000111000111…
…11010011101000
3100212121101122100
420130133103220
5242232422432
622020453400
73340211460
oct1034372350
9325541570
10141685992
1172a83868
123b54a260
132347a886
1414b62ba0
15c68b07c
hex871f4e8

141685992 has 96 divisors (see below), whose sum is σ = 444674880. Its totient is φ = 39916800.

The previous prime is 141685961. The next prime is 141685993. The reversal of 141685992 is 299586141.

141685992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141685993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34867 + ... + 38717.

It is an arithmetic number, because the mean of its divisors is an integer number (4632030).

Almost surely, 2141685992 is an apocalyptic number.

141685992 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 141685992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222337440).

141685992 is an abundant number, since it is smaller than the sum of its proper divisors (302988888).

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

141685992 is a wasteful number, since it uses less digits than its factorization.

141685992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 141685992 is about 11903.1925129353. The cubic root of 141685992 is about 521.3255039600.

The spelling of 141685992 in words is "one hundred forty-one million, six hundred eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 3851 4088 4599 5256 6132 7702 9198 11553 12264 15404 18396 23106 26957 30808 34659 36792 46212 53914 69318 80871 92424 107828 138636 161742 215656 242613 277272 281123 323484 485226 562246 646968 843369 970452 1124492 1686738 1940904 1967861 2248984 2530107 3373476 3935722 5060214 5903583 6746952 7871444 10120428 11807166 15742888 17710749 20240856 23614332 35421498 47228664 70842996 141685992