Search a number
-
+
189292032 = 293313693
BaseRepresentation
bin10110100100001…
…01111000000000
3111012012000212000
423102011320000
5341424321112
630441104000
74455645546
oct1322057000
9435160760
10189292032
11979399a6
1253488000
13302a8427
141b1d5d96
15119417dc
hexb485e00

189292032 has 80 divisors (see below), whose sum is σ = 560358480. Its totient is φ = 63092736.

The previous prime is 189292027. The next prime is 189292043. The reversal of 189292032 is 230292981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6978 + ... + 20670.

It is an arithmetic number, because the mean of its divisors is an integer number (7004481).

Almost surely, 2189292032 is an apocalyptic number.

189292032 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 189292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280179240).

189292032 is an abundant number, since it is smaller than the sum of its proper divisors (371066448).

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

189292032 is an equidigital number, since it uses as much as digits as its factorization.

189292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 189292032 is about 13758.3440864081. The cubic root of 189292032 is about 574.1747779223.

The spelling of 189292032 in words is "one hundred eighty-nine million, two hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13693 13824 27386 41079 54772 82158 109544 123237 164316 219088 246474 328632 369711 438176 492948 657264 739422 876352 985896 1314528 1478844 1752704 1971792 2629056 2957688 3505408 3943584 5258112 5915376 7010816 7887168 10516224 11830752 15774336 21032448 23661504 31548672 47323008 63097344 94646016 189292032