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132362142 = 23112337541
BaseRepresentation
bin1111110001110…
…10111110011110
3100020001200201120
413320322332132
5232341042032
621044551410
73165026313
oct770727636
9306050646
10132362142
1168795700
12383b2566
13215649c3
1413816d0a
15b94862c
hex7e3af9e

132362142 has 48 divisors (see below), whose sum is σ = 292380816. Its totient is φ = 39916800.

The previous prime is 132362141. The next prime is 132362143. The reversal of 132362142 is 241263231.

It is an interprime number because it is at equal distance from previous prime (132362141) and next prime (132362143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132362141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244392 + ... + 244932.

It is an arithmetic number, because the mean of its divisors is an integer number (6091267).

Almost surely, 2132362142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132362142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146190408).

132362142 is an abundant number, since it is smaller than the sum of its proper divisors (160018674).

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

132362142 is a wasteful number, since it uses less digits than its factorization.

132362142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 132362142 is about 11504.8747059670. The cubic root of 132362142 is about 509.6295425806.

The spelling of 132362142 in words is "one hundred thirty-two million, three hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 337 363 541 674 726 1011 1082 1623 2022 3246 3707 5951 7414 11121 11902 17853 22242 35706 40777 65461 81554 122331 130922 182317 196383 244662 364634 392766 546951 1093902 2005487 4010974 6016461 12032922 22060357 44120714 66181071 132362142