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190632 = 23313247
BaseRepresentation
bin101110100010101000
3100200111110
4232202220
522100012
64030320
71422531
oct564250
9320443
10190632
11120252
12923a0
1368a00
144d688
153b73c
hex2e8a8

190632 has 48 divisors (see below), whose sum is σ = 527040. Its totient is φ = 57408.

The previous prime is 190613. The next prime is 190633. The reversal of 190632 is 236091.

It is a junction number, because it is equal to n+sod(n) for n = 190599 and 190608.

It is not an unprimeable number, because it can be changed into a prime (190633) by changing a digit.

190632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4033 + ... + 4079.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2190632 is an apocalyptic number.

190632 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 190632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263520).

190632 is an abundant number, since it is smaller than the sum of its proper divisors (336408).

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

190632 is a wasteful number, since it uses less digits than its factorization.

190632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 190632 is about 436.6142462174. The cubic root of 190632 is about 57.5526424013.

Adding to 190632 its sum of digits (21), we get a triangular number (190653 = T617).

The spelling of 190632 in words is "one hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 169 188 282 312 338 376 507 564 611 676 1014 1128 1222 1352 1833 2028 2444 3666 4056 4888 7332 7943 14664 15886 23829 31772 47658 63544 95316 190632