Search a number
-
+
151078960 = 2451888487
BaseRepresentation
bin10010000000101…
…00100000110000
3101112021121101001
421000110200300
5302134011320
622554051344
73513102304
oct1100244060
9345247331
10151078960
117830994a
1242719b54
13253b9046
14160c9d04
15d3e420a
hex9014830

151078960 has 20 divisors (see below), whose sum is σ = 351258768. Its totient is φ = 60431552.

The previous prime is 151078957. The next prime is 151078969. The reversal of 151078960 is 69870151.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (151078969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944164 + ... + 944323.

Almost surely, 2151078960 is an apocalyptic number.

151078960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151078960 is an abundant number, since it is smaller than the sum of its proper divisors (200179808).

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

151078960 is a wasteful number, since it uses less digits than its factorization.

151078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888500 (or 1888494 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 151078960 is about 12291.4181443802. The cubic root of 151078960 is about 532.6002044963.

The spelling of 151078960 in words is "one hundred fifty-one million, seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1888487 3776974 7553948 9442435 15107896 18884870 30215792 37769740 75539480 151078960