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151122080 = 2555371251
BaseRepresentation
bin10010000000111…
…11000010100000
3101112100210112002
421000133002200
5302141401310
622555023132
73513342104
oct1100370240
9345323462
10151122080
117833928a
124273aaa8
1325402865
14160db904
15d401da5
hex901f0a0

151122080 has 96 divisors (see below), whose sum is σ = 370355328. Its totient is φ = 58240000.

The previous prime is 151122079. The next prime is 151122109. The reversal of 151122080 is 80221151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 601955 + ... + 602205.

It is an arithmetic number, because the mean of its divisors is an integer number (3857868).

Almost surely, 2151122080 is an apocalyptic number.

151122080 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 151122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177664).

151122080 is an abundant number, since it is smaller than the sum of its proper divisors (219233248).

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

151122080 is a wasteful number, since it uses less digits than its factorization.

151122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 151122080 is about 12293.1720886027. The cubic root of 151122080 is about 532.6508701355.

The spelling of 151122080 in words is "one hundred fifty-one million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 71 80 106 142 160 212 251 265 284 355 424 502 530 568 710 848 1004 1060 1136 1255 1420 1696 2008 2120 2272 2510 2840 3763 4016 4240 5020 5680 7526 8032 8480 10040 11360 13303 15052 17821 18815 20080 26606 30104 35642 37630 40160 53212 60208 66515 71284 75260 89105 106424 120416 133030 142568 150520 178210 212848 266060 285136 301040 356420 425696 532120 570272 602080 712840 944513 1064240 1425680 1889026 2128480 2851360 3778052 4722565 7556104 9445130 15112208 18890260 30224416 37780520 75561040 151122080