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151306146 = 23217348589
BaseRepresentation
bin10010000010010…
…11111110100010
3101112201011000100
421001023332202
5302213244041
623003003230
73515036535
oct1101137642
9345634010
10151306146
1178454602
1242809516
1325468584
1416148a1c
15d43b6b6
hex904bfa2

151306146 has 24 divisors (see below), whose sum is σ = 329731740. Its totient is φ = 50142816.

The previous prime is 151306123. The next prime is 151306147. The reversal of 151306146 is 641603151.

151306146 is a `hidden beast` number, since 1 + 513 + 0 + 6 + 146 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135978921 + 15327225 = 11661^2 + 3915^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151306147) by changing a digit.

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, 21181 + ... + 27408.

Almost surely, 2151306146 is an apocalyptic number.

151306146 is an abundant number, since it is smaller than the sum of its proper divisors (178425594).

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

151306146 is a wasteful number, since it uses less digits than its factorization.

151306146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48770 (or 48767 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151306146 is about 12300.6563239528. The cubic root of 151306146 is about 532.8670378341.

Adding to 151306146 its reverse (641603151), we get a palindrome (792909297).

The spelling of 151306146 in words is "one hundred fifty-one million, three hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 48589 97178 145767 291534 437301 874602 8405897 16811794 25217691 50435382 75653073 151306146