Search a number
-
+
151535132 = 227231671409
BaseRepresentation
bin10010000100000…
…11111000011100
3101120010210010022
421002003320130
5302243111012
623011531312
73520012250
oct1102037034
9346123108
10151535132
11785a0651
12428b9b38
1325518878
14161a8260
15d484472
hex9083e1c

151535132 has 48 divisors (see below), whose sum is σ = 318366720. Its totient is φ = 61704192.

The previous prime is 151535129. The next prime is 151535141. The reversal of 151535132 is 231535151.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106844 + ... + 108252.

It is an arithmetic number, because the mean of its divisors is an integer number (6632640).

Almost surely, 2151535132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151535132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

151535132 is an abundant number, since it is smaller than the sum of its proper divisors (166831588).

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

151535132 is a wasteful number, since it uses less digits than its factorization.

151535132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1608 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 151535132 is about 12309.9606823093. The cubic root of 151535132 is about 533.1357151528.

The spelling of 151535132 in words is "one hundred fifty-one million, five hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 167 322 334 644 668 1169 1409 2338 2818 3841 4676 5636 7682 9863 15364 19726 26887 32407 39452 53774 64814 107548 129628 226849 235303 453698 470606 907396 941212 1647121 3294242 5411969 6588484 10823938 21647876 37883783 75767566 151535132