Search a number
-
+
151079656 = 237131391493
BaseRepresentation
bin10010000000101…
…00101011101000
3101112021122022211
421000110223220
5302134022111
622554054504
73513104320
oct1100245350
9345248284
10151079656
117830a422
124271a434
13253b9460
14160ca280
15d3e4521
hex9014ae8

151079656 has 64 divisors (see below), whose sum is σ = 351388800. Its totient is φ = 59298048.

The previous prime is 151079653. The next prime is 151079717. The reversal of 151079656 is 656970151.

It is not an unprimeable number, because it can be changed into a prime (151079651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100446 + ... + 101938.

It is an arithmetic number, because the mean of its divisors is an integer number (5490450).

Almost surely, 2151079656 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 151079656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694400).

151079656 is an abundant number, since it is smaller than the sum of its proper divisors (200309144).

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

151079656 is a wasteful number, since it uses less digits than its factorization.

151079656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 151079656 is about 12291.4464567845. The cubic root of 151079656 is about 532.6010223670.

The spelling of 151079656 in words is "one hundred fifty-one million, seventy-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1493 1807 1946 2986 3614 3892 5972 7228 7784 10451 11944 12649 14456 19409 20902 25298 38818 41804 50596 77636 83608 101192 135863 155272 207527 271726 415054 543452 830108 1086904 1452689 1660216 2697851 2905378 5395702 5810756 10791404 11621512 18884957 21582808 37769914 75539828 151079656