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151380 = 22325292
BaseRepresentation
bin100100111101010100
321200122200
4210331110
514321010
63124500
71200225
oct447524
9250580
10151380
11a3809
1273730
1353b98
143d24c
152ecc0
hex24f54

151380 has 54 divisors (see below), whose sum is σ = 475566. Its totient is φ = 38976.

The previous prime is 151379. The next prime is 151381. The reversal of 151380 is 83151.

It is a happy number.

151380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151379) and next prime (151381).

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 133956 = 132^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151381) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5206 + ... + 5234.

2151380 is an apocalyptic number.

151380 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 151380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237783).

151380 is an abundant number, since it is smaller than the sum of its proper divisors (324186).

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

151380 is a wasteful number, since it uses less digits than its factorization.

151380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151380 is about 389.0758280850. The cubic root of 151380 is about 53.2953722925.

The spelling of 151380 in words is "one hundred fifty-one thousand, three hundred eighty".