Search a number
-
+
151068680 = 23574391229
BaseRepresentation
bin10010000000100…
…10000000001000
3101112021002021022
421000102000020
5302133144210
622553532012
73513030320
oct1100220010
9345232238
10151068680
1178302154
1242714008
13253b4469
14160c6280
15d3e1155
hex9012008

151068680 has 64 divisors (see below), whose sum is σ = 389664000. Its totient is φ = 51634944.

The previous prime is 151068587. The next prime is 151068703. The reversal of 151068680 is 86860151.

151068680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 122912-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 151068680.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122306 + ... + 123534.

It is an arithmetic number, because the mean of its divisors is an integer number (6088500).

Almost surely, 2151068680 is an apocalyptic number.

151068680 is a gapful number since it is divisible by the number (10) 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 151068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194832000).

151068680 is an abundant number, since it is smaller than the sum of its proper divisors (238595320).

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

151068680 is a wasteful number, since it uses less digits than its factorization.

151068680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 151068680 is about 12290.9999593198. Note that the first 4 decimals coincide. The cubic root of 151068680 is about 532.5881241592.

The spelling of 151068680 in words is "one hundred fifty-one million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 439 878 1229 1756 2195 2458 3073 3512 4390 4916 6145 6146 8603 8780 9832 12290 12292 15365 17206 17560 24580 24584 30730 34412 43015 49160 61460 68824 86030 122920 172060 344120 539531 1079062 2158124 2697655 3776717 4316248 5395310 7553434 10790620 15106868 18883585 21581240 30213736 37767170 75534340 151068680