Search a number
-
+
190081460 = 225312111453
BaseRepresentation
bin10110101010001…
…10100110110100
3111020200010202002
423111012212310
5342130101320
630510034432
74465444232
oct1325064664
9436603662
10190081460
1198329018
12537a8a18
13304c384a
141b35d952
1511a4a675
hexb5469b4

190081460 has 48 divisors (see below), whose sum is σ = 414285312. Its totient is φ = 73180800.

The previous prime is 190081387. The next prime is 190081477. The reversal of 190081460 is 64180091.

190081460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900814602 = 72261922871463200, which contains 22 as substring.

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, 130094 + ... + 131546.

It is an arithmetic number, because the mean of its divisors is an integer number (8630944).

Almost surely, 2190081460 is an apocalyptic number.

190081460 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 190081460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207142656).

190081460 is an abundant number, since it is smaller than the sum of its proper divisors (224203852).

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

190081460 is a wasteful number, since it uses less digits than its factorization.

190081460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 190081460 is about 13787.0033002099. The cubic root of 190081460 is about 574.9718549551.

The spelling of 190081460 in words is "one hundred ninety million, eighty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 211 310 422 620 844 1055 1453 2110 2906 4220 5812 6541 7265 13082 14530 26164 29060 32705 45043 65410 90086 130820 180172 225215 306583 450430 613166 900860 1226332 1532915 3065830 6131660 9504073 19008146 38016292 47520365 95040730 190081460