Search a number
-
+
132142860 = 223351072287
BaseRepresentation
bin1111110000001…
…01011100001100
3100012122112221000
413320011130030
5232312032420
621040140300
73163124103
oct770053414
9305575830
10132142860
1168655983
1238307690
13214b8c55
141379b03a
15b903690
hex7e0570c

132142860 has 96 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 34893504.

The previous prime is 132142859. The next prime is 132142867. The reversal of 132142860 is 68241231.

132142860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132142867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56637 + ... + 58923.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2132142860 is an apocalyptic number.

132142860 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 132142860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

132142860 is an abundant number, since it is smaller than the sum of its proper divisors (282991860).

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

132142860 is a wasteful number, since it uses less digits than its factorization.

132142860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132142860 is about 11495.3407952962. The cubic root of 132142860 is about 509.3479556319.

The spelling of 132142860 in words is "one hundred thirty-two million, one hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2287 2889 3210 3852 4574 4815 5778 6420 6861 9148 9630 11435 11556 13722 14445 19260 20583 22870 27444 28890 34305 41166 45740 57780 61749 68610 82332 102915 123498 137220 205830 244709 246996 308745 411660 489418 617490 734127 978836 1223545 1234980 1468254 2202381 2447090 2936508 3670635 4404762 4894180 6607143 7341270 8809524 11011905 13214286 14682540 22023810 26428572 33035715 44047620 66071430 132142860