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151340512 = 253141612
BaseRepresentation
bin10010000010101…
…00010111100000
3101112202220011011
421001110113200
5302220344022
623003430304
73515241661
oct1101242740
9345686134
10151340512
1178478404
1242825394
132547b0cb
1416157368
15d446977
hex90545e0

151340512 has 72 divisors (see below), whose sum is σ = 320314176. Its totient is φ = 70272000.

The previous prime is 151340509. The next prime is 151340513. The reversal of 151340512 is 215043151.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151340513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2480962 + ... + 2481022.

It is an arithmetic number, because the mean of its divisors is an integer number (4448808).

Almost surely, 2151340512 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 151340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088).

151340512 is an abundant number, since it is smaller than the sum of its proper divisors (168973664).

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

151340512 is an equidigital number, since it uses as much as digits as its factorization.

151340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 151340512 is about 12302.0531619726. The cubic root of 151340512 is about 532.9073779499.

Adding to 151340512 its reverse (215043151), we get a palindrome (366383663).

It can be divided in two parts, 1513 and 40512, that added together give a square (42025 = 2052).

The spelling of 151340512 in words is "one hundred fifty-one million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 41 61 62 82 122 124 164 244 248 328 488 496 656 976 992 1271 1312 1891 1952 2501 2542 3721 3782 5002 5084 7442 7564 10004 10168 14884 15128 20008 20336 29768 30256 40016 40672 59536 60512 77531 80032 115351 119072 152561 155062 230702 305122 310124 461404 610244 620248 922808 1220488 1240496 1845616 2440976 2480992 3691232 4729391 4881952 9458782 18917564 37835128 75670256 151340512