Search a number
-
+
151361829 = 3217989293
BaseRepresentation
bin10010000010110…
…01100100100101
3101112210222101200
421001121210211
5302222034304
623004113113
73515361063
oct1101314445
9345728350
10151361829
1178492423
1242835799
1325487a18
1416161033
15d44ce39
hex9059925

151361829 has 12 divisors (see below), whose sum is σ = 231494796. Its totient is φ = 94972032.

The previous prime is 151361803. The next prime is 151361843. The reversal of 151361829 is 928163151.

151361829 is a `hidden beast` number, since 1 + 5 + 13 + 618 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88397604 + 62964225 = 9402^2 + 7935^2 .

It is not a de Polignac number, because 151361829 - 211 = 151359781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151361793 and 151361802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151362829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 494494 + ... + 494799.

It is an arithmetic number, because the mean of its divisors is an integer number (19291233).

Almost surely, 2151361829 is an apocalyptic number.

It is an amenable number.

151361829 is a deficient number, since it is larger than the sum of its proper divisors (80132967).

151361829 is a wasteful number, since it uses less digits than its factorization.

151361829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989316 (or 989313 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 151361829 is about 12302.9195315584. The cubic root of 151361829 is about 532.9323975852.

The spelling of 151361829 in words is "one hundred fifty-one million, three hundred sixty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 51 153 989293 2967879 8903637 16817981 50453943 151361829