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132042020 = 2251119311019
BaseRepresentation
bin1111101111011…
…00110100100100
3100012110102121012
413313230310210
5232300321040
621034041352
73162224105
oct767546444
9305412535
10132042020
1168597140
1238279258
1321482096
14137723ac
15b8d3865
hex7decd24

132042020 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 43977600.

The previous prime is 132042013. The next prime is 132042023. The reversal of 132042020 is 20240231.

It is a junction number, because it is equal to n+sod(n) for n = 132041986 and 132042004.

It is not an unprimeable number, because it can be changed into a prime (132042023) 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, 129071 + ... + 130089.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2132042020 is an apocalyptic number.

132042020 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 132042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

132042020 is an abundant number, since it is smaller than the sum of its proper divisors (196969180).

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

132042020 is a wasteful number, since it uses less digits than its factorization.

132042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132042020 is about 11490.9538333421. The cubic root of 132042020 is about 509.2183592275.

Adding to 132042020 its reverse (20240231), we get a palindrome (152282251).

The spelling of 132042020 in words is "one hundred thirty-two million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 31 38 44 55 62 76 95 110 124 155 190 209 220 310 341 380 418 589 620 682 836 1019 1045 1178 1364 1705 2038 2090 2356 2945 3410 4076 4180 5095 5890 6479 6820 10190 11209 11780 12958 19361 20380 22418 25916 31589 32395 38722 44836 56045 63178 64790 77444 96805 112090 126356 129580 157945 193610 212971 224180 315890 347479 387220 425942 600191 631780 694958 851884 1064855 1200382 1389916 1737395 2129710 2400764 3000955 3474790 4259420 6001910 6602101 6949580 12003820 13204202 26408404 33010505 66021010 132042020