Search a number
-
+
190937412 = 22344331361
BaseRepresentation
bin10110110000101…
…11100101000100
3111022021121220000
423120113211010
5342334444122
630540241300
74505640561
oct1330274504
9438247800
10190937412
1198863116
1253b40230
1330733323
141b503868
1511b690ac
hexb617944

190937412 has 60 divisors (see below), whose sum is σ = 500668476. Its totient is φ = 63452160.

The previous prime is 190937407. The next prime is 190937423. The reversal of 190937412 is 214739091.

190937412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 164249856 = 5166^2 + 12816^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 139612 + ... + 140972.

Almost surely, 2190937412 is an apocalyptic number.

190937412 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 190937412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250334238).

190937412 is an abundant number, since it is smaller than the sum of its proper divisors (309731064).

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

190937412 is a wasteful number, since it uses less digits than its factorization.

190937412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190937412 is about 13818.0104211858. The cubic root of 190937412 is about 575.8336107939.

The spelling of 190937412 in words is "one hundred ninety million, nine hundred thirty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 433 866 1299 1361 1732 2598 2722 3897 4083 5196 5444 7794 8166 11691 12249 15588 16332 23382 24498 35073 36747 46764 48996 70146 73494 110241 140292 146988 220482 440964 589313 1178626 1767939 2357252 3535878 5303817 7071756 10607634 15911451 21215268 31822902 47734353 63645804 95468706 190937412