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153090 = 23757
BaseRepresentation
bin100101011000000010
321210000000
4211120002
514344330
63140430
71205220
oct453002
9253000
10153090
11a5023
1274716
13548b2
143db10
1530560
hex25602

153090 has 64 divisors (see below), whose sum is σ = 472320. Its totient is φ = 34992.

The previous prime is 153089. The next prime is 153107. The reversal of 153090 is 90351.

153090 = 602 + 612 + ... + 872.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21867 + ... + 21873.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2153090 is an apocalyptic number.

153090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236160).

153090 is an abundant number, since it is smaller than the sum of its proper divisors (319230).

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

153090 is an frugal number, since it uses more digits than its factorization.

153090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153090 is about 391.2671721471. The cubic root of 153090 is about 53.4952975749.

The spelling of 153090 in words is "one hundred fifty-three thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2187 2430 2835 3402 3645 4374 5103 5670 7290 8505 10206 10935 15309 17010 21870 25515 30618 51030 76545 153090