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153140 = 225131931
BaseRepresentation
bin100101011000110100
321210001212
4211120310
514400030
63140552
71205321
oct453064
9253055
10153140
11a5069
1274758
1354920
143db48
1530595
hex25634

153140 has 48 divisors (see below), whose sum is σ = 376320. Its totient is φ = 51840.

The previous prime is 153137. The next prime is 153151. The reversal of 153140 is 41351.

153140 is nontrivially palindromic in base 3.

It is a super-3 number, since 3×1531403 = 10774253337432000, which contains 333 as substring.

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, 4925 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2153140 is an apocalyptic number.

153140 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 153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

153140 is an abundant number, since it is smaller than the sum of its proper divisors (223180).

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

153140 is a wasteful number, since it uses less digits than its factorization.

153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 153140 is about 391.3310618901. The cubic root of 153140 is about 53.5011208896.

Adding to 153140 its reverse (41351), we get a palindrome (194491).

The spelling of 153140 in words is "one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1612 2015 2356 2470 2945 4030 4940 5890 7657 8060 11780 15314 30628 38285 76570 153140