Search a number
-
+
151351044 = 223137912281
BaseRepresentation
bin10010000010101…
…10111100000100
3101112210102121020
421001112330010
5302221213134
623003551140
73515314455
oct1101267404
9345712536
10151351044
1178485309
124282b4b0
1325482b40
141615b12c
15d449b49
hex9056f04

151351044 has 48 divisors (see below), whose sum is σ = 385163520. Its totient is φ = 45976320.

The previous prime is 151351043. The next prime is 151351069. The reversal of 151351044 is 440153151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (151351043) 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, 6184 + ... + 18464.

It is an arithmetic number, because the mean of its divisors is an integer number (8024240).

Almost surely, 2151351044 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 151351044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192581760).

151351044 is an abundant number, since it is smaller than the sum of its proper divisors (233812476).

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

151351044 is a wasteful number, since it uses less digits than its factorization.

151351044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 151351044 is about 12302.4812131537. The cubic root of 151351044 is about 532.9197395889.

The spelling of 151351044 in words is "one hundred fifty-one million, three hundred fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 948 1027 2054 3081 4108 6162 12281 12324 24562 36843 49124 73686 147372 159653 319306 478959 638612 957918 970199 1915836 1940398 2910597 3880796 5821194 11642388 12612587 25225174 37837761 50450348 75675522 151351044