Search a number
-
+
151291900 = 225213111549
BaseRepresentation
bin10010000010010…
…00011111111100
3101112200102110201
421001020133330
5302212320100
623002413244
73514650154
oct1101103774
9345612421
10151291900
1178444931
1242801224
1325461c46
1416143764
15d43736a
hex90487fc

151291900 has 36 divisors (see below), whose sum is σ = 330838200. Its totient is φ = 60049600.

The previous prime is 151291879. The next prime is 151291913. The reversal of 151291900 is 9192151.

It is a super-2 number, since 2×1512919002 = 45778478011220000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7326 + ... + 18874.

It is an arithmetic number, because the mean of its divisors is an integer number (9189950).

Almost surely, 2151291900 is an apocalyptic number.

151291900 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 151291900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165419100).

151291900 is an abundant number, since it is smaller than the sum of its proper divisors (179546300).

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

151291900 is a wasteful number, since it uses less digits than its factorization.

151291900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 151291900 is about 12300.0772355299. The cubic root of 151291900 is about 532.8503135474.

The spelling of 151291900 in words is "one hundred fifty-one million, two hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 6550 11549 13100 23098 46196 57745 115490 230980 288725 577450 1154900 1512919 3025838 6051676 7564595 15129190 30258380 37822975 75645950 151291900