Search a number
-
+
151142656 = 287212049
BaseRepresentation
bin10010000001001…
…00000100000000
3101112101211202011
421000210010000
5302143031111
622555302304
73513456100
oct1100440400
9345354664
10151142656
1178352795
124274a994
132540c032
1416105200
15d408021
hex9024100

151142656 has 54 divisors (see below), whose sum is σ = 350980350. Its totient is φ = 64770048.

The previous prime is 151142653. The next prime is 151142657. The reversal of 151142656 is 656241151.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 12845056 = 11760^2 + 3584^2 .

It is not an unprimeable number, because it can be changed into a prime (151142653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6520 + ... + 18568.

Almost surely, 2151142656 is an apocalyptic number.

151142656 is a gapful number since it is divisible by the number (16) 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 151142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175490175).

151142656 is an abundant number, since it is smaller than the sum of its proper divisors (199837694).

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

151142656 is an equidigital number, since it uses as much as digits as its factorization.

151142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12058 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 151142656 is about 12294.0089474508. The cubic root of 151142656 is about 532.6750433667.

The spelling of 151142656 in words is "one hundred fifty-one million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12049 12544 24098 48196 84343 96392 168686 192784 337372 385568 590401 674744 771136 1180802 1349488 1542272 2361604 2698976 3084544 4723208 5397952 9446416 10795904 18892832 21591808 37785664 75571328 151142656