Search a number
-
+
764190 = 232571213
BaseRepresentation
bin10111010100100011110
31102211021100
42322210132
5143423230
624213530
76331650
oct2724436
91384240
10764190
11482169
1230a2a6
13209aab
1415c6d0
15101660
hexba91e

764190 has 48 divisors (see below), whose sum is σ = 2272608. Its totient is φ = 174528.

The previous prime is 764189. The next prime is 764209. The reversal of 764190 is 91467.

It is a super-2 number, since 2×7641902 = 1167972712200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 764190.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (47346).

2764190 is an apocalyptic number.

764190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 764190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136304).

764190 is an abundant number, since it is smaller than the sum of its proper divisors (1508418).

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

764190 is a wasteful number, since it uses less digits than its factorization.

764190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 764190 is about 874.1796154109. The cubic root of 764190 is about 91.4254521350.

The spelling of 764190 in words is "seven hundred sixty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1213 2426 3639 6065 7278 8491 10917 12130 16982 18195 21834 25473 36390 42455 50946 54585 76419 84910 109170 127365 152838 254730 382095 764190