Search a number
-
+
151475148 = 2232112316631
BaseRepresentation
bin10010000011101…
…01001111001100
3101120000201211200
421001311033030
5302234201043
623010345500
73516342336
oct1101651714
9346021750
10151475148
117855a580
124288b290
13254c7486
1416190456
15d4717d3
hex90753cc

151475148 has 72 divisors (see below), whose sum is σ = 435891456. Its totient is φ = 43903200.

The previous prime is 151475147. The next prime is 151475173. The reversal of 151475148 is 841574151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151475143) 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 23 ways as a sum of consecutive naturals, for example, 793 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2151475148 is an apocalyptic number.

151475148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151475148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

151475148 is an abundant number, since it is smaller than the sum of its proper divisors (284416308).

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

151475148 is a wasteful number, since it uses less digits than its factorization.

151475148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16675 (or 16670 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 151475148 is about 12307.5240401959. The cubic root of 151475148 is about 533.0653599974.

The spelling of 151475148 in words is "one hundred fifty-one million, four hundred seventy-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 16631 33262 49893 66524 99786 149679 182941 199572 299358 365882 382513 548823 598716 731764 765026 1097646 1147539 1530052 1646469 2195292 2295078 3292938 3442617 4207643 4590156 6585876 6885234 8415286 12622929 13770468 16830572 25245858 37868787 50491716 75737574 151475148