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190680 = 23357227
BaseRepresentation
bin101110100011011000
3100200120020
4232203120
522100210
64030440
71422630
oct564330
9320506
10190680
11120296
1292420
1368a39
144d6c0
153b770
hex2e8d8

190680 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 43392.

The previous prime is 190669. The next prime is 190699. The reversal of 190680 is 86091.

190680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 190680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2190680 is an apocalyptic number.

190680 is a gapful number since it is divisible by the number (10) 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 190680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

190680 is an abundant number, since it is smaller than the sum of its proper divisors (465960).

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

190680 is a wasteful number, since it uses less digits than its factorization.

190680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 190680 is about 436.6692111885. The cubic root of 190680 is about 57.5574724666.

The spelling of 190680 in words is "one hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 227 280 420 454 681 840 908 1135 1362 1589 1816 2270 2724 3178 3405 4540 4767 5448 6356 6810 7945 9080 9534 12712 13620 15890 19068 23835 27240 31780 38136 47670 63560 95340 190680