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151140 = 223511229
BaseRepresentation
bin100100111001100100
321200022210
4210321210
514314030
63123420
71166433
oct447144
9250283
10151140
11a3610
1273570
1353a42
143d11a
152ebb0
hex24e64

151140 has 48 divisors (see below), whose sum is σ = 463680. Its totient is φ = 36480.

The previous prime is 151121. The next prime is 151141. The reversal of 151140 is 41151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (151141) by changing a digit.

151140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2151140 is an apocalyptic number.

151140 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 151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840).

151140 is an abundant number, since it is smaller than the sum of its proper divisors (312540).

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

151140 is a wasteful number, since it uses less digits than its factorization.

151140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 151140 is about 388.7672825740. The cubic root of 151140 is about 53.2671923151.

151140 divided by its product of nonzero digits (20) gives a palindrome (7557).

Adding to 151140 its reverse (41151), we get a palindrome (192291).

It can be divided in two parts, 1511 and 40, that added together give a palindrome (1551).

The spelling of 151140 in words is "one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 229 330 458 660 687 916 1145 1374 2290 2519 2748 3435 4580 5038 6870 7557 10076 12595 13740 15114 25190 30228 37785 50380 75570 151140