Search a number
-
+
151766148 = 223193312011
BaseRepresentation
bin10010000101111…
…00010010000100
3101120120112000110
421002330102010
5302323004043
623020513020
73521663622
oct1102742204
9346515013
10151766148
1178739176
12429ab770
1325599a71
1416228512
15d4ccb33
hex90bc484

151766148 has 48 divisors (see below), whose sum is σ = 374071040. Its totient is φ = 47757600.

The previous prime is 151766141. The next prime is 151766161. The reversal of 151766148 is 841667151.

It is not an unprimeable number, because it can be changed into a prime (151766141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74463 + ... + 76473.

Almost surely, 2151766148 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 151766148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187035520).

151766148 is an abundant number, since it is smaller than the sum of its proper divisors (222304892).

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

151766148 is a wasteful number, since it uses less digits than its factorization.

151766148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2366 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 151766148 is about 12319.3404044210. The cubic root of 151766148 is about 533.4065002050.

The spelling of 151766148 in words is "one hundred fifty-one million, seven hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 331 662 993 1324 1986 2011 3972 4022 6033 6289 8044 12066 12578 18867 24132 25156 37734 38209 75468 76418 114627 152836 229254 458508 665641 1331282 1996923 2662564 3993846 7987692 12647179 25294358 37941537 50588716 75883074 151766148