Search a number
-
+
151344810 = 23251938713
BaseRepresentation
bin10010000010101…
…01011010101010
3101112210010001100
421001111122222
5302221013220
623003502230
73515260341
oct1101253252
9345703040
10151344810
1178480661
1242827976
1325480056
1416158b58
15d447d90
hex90556aa

151344810 has 48 divisors (see below), whose sum is σ = 395580744. Its totient is φ = 40144896.

The previous prime is 151344799. The next prime is 151344833. The reversal of 151344810 is 18443151.

It is a happy number.

151344810 is a `hidden beast` number, since 151 + 34 + 481 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138791961 + 12552849 = 11781^2 + 3543^2 .

It is a super-2 number, since 2×1513448102 = 45810503027872200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13014 + ... + 21726.

Almost surely, 2151344810 is an apocalyptic number.

151344810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151344810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197790372).

151344810 is an abundant number, since it is smaller than the sum of its proper divisors (244235934).

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

151344810 is a wasteful number, since it uses less digits than its factorization.

151344810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151344810 is about 12302.2278470202. The cubic root of 151344810 is about 532.9124226759.

Adding to 151344810 its reverse (18443151), we get a palindrome (169787961).

The spelling of 151344810 in words is "one hundred fifty-one million, three hundred forty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8685 8713 17370 17426 26139 43565 52278 78417 87130 130695 156834 261390 392085 784170 1681609 3363218 5044827 8408045 10089654 15134481 16816090 25224135 30268962 50448270 75672405 151344810