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181342140 = 22357261681
BaseRepresentation
bin10101100111100…
…00111110111100
3110122020010122120
422303300332330
5332410422030
625554442540
74331245200
oct1263607674
9418203576
10181342140
11933aa041
1250893450
132b753a55
141a126b00
1510dc1010
hexacf0fbc

181342140 has 72 divisors (see below), whose sum is σ = 590666832. Its totient is φ = 41448960.

The previous prime is 181342103. The next prime is 181342151. The reversal of 181342140 is 41243181.

181342140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

181342140 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 181342140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27901 + ... + 33780.

It is an arithmetic number, because the mean of its divisors is an integer number (8203706).

Almost surely, 2181342140 is an apocalyptic number.

181342140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181342140 is an abundant number, since it is smaller than the sum of its proper divisors (409324692).

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

181342140 is a wasteful number, since it uses less digits than its factorization.

181342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61707 (or 61698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 181342140 is about 13466.3335767387. Note that the first 3 decimals coincide. The cubic root of 181342140 is about 566.0214794547.

The spelling of 181342140 in words is "one hundred eighty-one million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 61681 123362 185043 246724 308405 370086 431767 616810 740172 863534 925215 1233620 1295301 1727068 1850430 2158835 2590602 3022369 3700860 4317670 5181204 6044738 6476505 8635340 9067107 12089476 12953010 15111845 18134214 25906020 30223690 36268428 45335535 60447380 90671070 181342140