Search a number
-
+
151251144 = 233111992879
BaseRepresentation
bin10010000001111…
…10100011001000
3101112121100120020
421000332203020
5302210014034
623001500440
73514420302
oct1100764310
9345540506
10151251144
1178417250
12427a1720
1325449525
1416132972
15d42a249
hex903e8c8

151251144 has 64 divisors (see below), whose sum is σ = 414720000. Its totient is φ = 45587520.

The previous prime is 151251143. The next prime is 151251179. The reversal of 151251144 is 441152151.

It is a super-2 number, since 2×1512511442 = 45753817122617472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (151251143) 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 15 ways as a sum of consecutive naturals, for example, 51097 + ... + 53975.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2151251144 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 151251144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

151251144 is an abundant number, since it is smaller than the sum of its proper divisors (263468856).

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

151251144 is a wasteful number, since it uses less digits than its factorization.

151251144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3094 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 151251144 is about 12298.4203863748. The cubic root of 151251144 is about 532.8024616846.

The spelling of 151251144 in words is "one hundred fifty-one million, two hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 2189 2388 2879 4378 4776 5758 6567 8637 8756 11516 13134 17274 17512 23032 26268 31669 34548 52536 63338 69096 95007 126676 190014 253352 380028 572921 760056 1145842 1718763 2291684 3437526 4583368 6302131 6875052 12604262 13750104 18906393 25208524 37812786 50417048 75625572 151251144