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153142260 = 223537101683
BaseRepresentation
bin10010010000011…
…00001111110100
3101200011102200120
421020030033310
5303201023020
623110211540
73536454615
oct1110141764
9350142616
10153142260
1179499057
1243353bb0
132595c22b
14164a5c0c
15d6a0740
hex920c3f4

153142260 has 96 divisors (see below), whose sum is σ = 445398912. Its totient is φ = 39283200.

The previous prime is 153142259. The next prime is 153142267. The reversal of 153142260 is 62241351.

It is a self number, because there is not a number n which added to its sum of digits gives 153142260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153142267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223879 + ... + 224561.

It is an arithmetic number, because the mean of its divisors is an integer number (4639572).

Almost surely, 2153142260 is an apocalyptic number.

153142260 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 153142260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222699456).

153142260 is an abundant number, since it is smaller than the sum of its proper divisors (292256652).

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

153142260 is a wasteful number, since it uses less digits than its factorization.

153142260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153142260 is about 12375.0660604297. The cubic root of 153142260 is about 535.0138407343.

Subtracting from 153142260 its reverse (62241351), we obtain a palindrome (90900909).

The spelling of 153142260 in words is "one hundred fifty-three million, one hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 606 683 740 1010 1110 1212 1366 1515 2020 2049 2220 2732 3030 3415 3737 4098 6060 6830 7474 8196 10245 11211 13660 14948 18685 20490 22422 25271 37370 40980 44844 50542 56055 68983 74740 75813 101084 112110 126355 137966 151626 206949 224220 252710 275932 303252 344915 379065 413898 505420 689830 758130 827796 1034745 1379660 1516260 2069490 2552371 4138980 5104742 7657113 10209484 12761855 15314226 25523710 30628452 38285565 51047420 76571130 153142260