Search a number
-
+
151401966 = 231710314411
BaseRepresentation
bin10010000011000…
…11010111101110
3101112220000110020
421001203113232
5302224330331
623005023010
73515616102
oct1101432756
9345800406
10151401966
117850a5a1
1242854a66
13254a0081
1416171902
15d459c96
hex90635ee

151401966 has 32 divisors (see below), whose sum is σ = 323751168. Its totient is φ = 47034240.

The previous prime is 151401947. The next prime is 151401979. The reversal of 151401966 is 669104151.

151401966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 3301 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (10117224).

Almost surely, 2151401966 is an apocalyptic number.

151401966 is an abundant number, since it is smaller than the sum of its proper divisors (172349202).

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

151401966 is a wasteful number, since it uses less digits than its factorization.

151401966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14536.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 151401966 is about 12304.5506216196. The cubic root of 151401966 is about 532.9794997671.

The spelling of 151401966 in words is "one hundred fifty-one million, four hundred one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 17 34 51 102 103 206 309 618 1751 3502 5253 10506 14411 28822 43233 86466 244987 489974 734961 1469922 1484333 2968666 4452999 8905998 25233661 50467322 75700983 151401966