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151060806 = 232134315013
BaseRepresentation
bin10010000000100…
…00000101000110
3101112020200110200
421000100011012
5302132421211
622553431330
73512665341
oct1100200506
9345220420
10151060806
11782a7246
124270b546
13253b09c0
14160c3458
15d3ddb56
hex9010146

151060806 has 48 divisors (see below), whose sum is σ = 360696336. Its totient is φ = 45396288.

The previous prime is 151060801. The next prime is 151060817. The reversal of 151060806 is 608060151.

151060806 is a `hidden beast` number, since 1 + 51 + 0 + 608 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 151060806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151060801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 17568.

It is an arithmetic number, because the mean of its divisors is an integer number (7514507).

Almost surely, 2151060806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151060806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180348168).

151060806 is an abundant number, since it is smaller than the sum of its proper divisors (209635530).

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

151060806 is a wasteful number, since it uses less digits than its factorization.

151060806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151060806 is about 12290.6796394666. The cubic root of 151060806 is about 532.5788708144.

The spelling of 151060806 in words is "one hundred fifty-one million, sixty thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 15013 30026 45039 90078 135117 195169 270234 390338 585507 645559 1171014 1291118 1756521 1936677 3513042 3873354 5810031 8392267 11620062 16784534 25176801 50353602 75530403 151060806