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151680126 = 231311317209
BaseRepresentation
bin10010000101001…
…11010001111110
3101120102011000110
421002213101332
5302312231001
623015010450
73521155053
oct1102472176
9346364013
10151680126
117868a584
1242969a26
1325569870
141620502a
15d4b23d6
hex90a747e

151680126 has 32 divisors (see below), whose sum is σ = 329605920. Its totient is φ = 46255104.

The previous prime is 151680071. The next prime is 151680143. The reversal of 151680126 is 621086151.

151680126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151680093 and 151680102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 17418.

It is an arithmetic number, because the mean of its divisors is an integer number (10300185).

Almost surely, 2151680126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151680126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164802960).

151680126 is an abundant number, since it is smaller than the sum of its proper divisors (177925794).

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

151680126 is a wasteful number, since it uses less digits than its factorization.

151680126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17340.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 151680126 is about 12315.8485700337. The cubic root of 151680126 is about 533.3057017803.

The spelling of 151680126 in words is "one hundred fifty-one million, six hundred eighty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 17209 34418 51627 103254 223717 447434 671151 1342302 1944617 3889234 5833851 11667702 25280021 50560042 75840063 151680126