Search a number
-
+
141092532 = 223273118061
BaseRepresentation
bin10000110100011…
…10011010110100
3100211111020120100
420122032122310
5242104430112
622000034100
73332160330
oct1032163264
9324436510
10141092532
11727089a9
123b302930
1323300709
1414a4a7c0
15c5c02dc
hex868e6b4

141092532 has 72 divisors (see below), whose sum is σ = 420772352. Its totient is φ = 39009600.

The previous prime is 141092527. The next prime is 141092533. The reversal of 141092532 is 235290141.

141092532 is a `hidden beast` number, since 1 + 41 + 0 + 92 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141092496 and 141092505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141092533) 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 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 16842.

Almost surely, 2141092532 is an apocalyptic number.

141092532 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 141092532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210386176).

141092532 is an abundant number, since it is smaller than the sum of its proper divisors (279679820).

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

141092532 is a wasteful number, since it uses less digits than its factorization.

141092532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18104 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 141092532 is about 11878.2377480837. The cubic root of 141092532 is about 520.5966179745.

It can be divided in two parts, 14109 and 2532, that added together give a square (16641 = 1292).

The spelling of 141092532 in words is "one hundred forty-one million, ninety-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 18061 36122 54183 72244 108366 126427 162549 216732 252854 325098 379281 505708 559891 650196 758562 1119782 1137843 1517124 1679673 2239564 2275686 3359346 3919237 4551372 5039019 6718692 7838474 10078038 11757711 15676948 20156076 23515422 35273133 47030844 70546266 141092532