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151141980 = 223511229003
BaseRepresentation
bin10010000001000…
…11111001011100
3101112101210211010
421000203321130
5302143020410
622555255220
73513454113
oct1100437134
9345353733
10151141980
1178352230
124274a510
132540b932
1416104c7a
15d407c20
hex9023e5c

151141980 has 48 divisors (see below), whose sum is σ = 461672064. Its totient is φ = 36640320.

The previous prime is 151141973. The next prime is 151142023. The reversal of 151141980 is 89141151.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 113842 + ... + 115161.

It is an arithmetic number, because the mean of its divisors is an integer number (9618168).

Almost surely, 2151141980 is an apocalyptic number.

151141980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151141980 is an abundant number, since it is smaller than the sum of its proper divisors (310530084).

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

151141980 is a wasteful number, since it uses less digits than its factorization.

151141980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229026 (or 229024 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The square root of 151141980 is about 12293.9814543540. The cubic root of 151141980 is about 532.6742492188.

The spelling of 151141980 in words is "one hundred fifty-one million, one hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 229003 458006 687009 916012 1145015 1374018 2290030 2519033 2748036 3435045 4580060 5038066 6870090 7557099 10076132 12595165 13740180 15114198 25190330 30228396 37785495 50380660 75570990 151141980