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132625740 = 223513193881
BaseRepresentation
bin1111110011110…
…11010101001100
3100020120002022110
413321323111030
5232423010430
621054344020
73200204652
oct771732514
9306502273
10132625740
1168955755
12384bb010
1321627990
1413884dd2
15b99b7b0
hex7e7b54c

132625740 has 96 divisors (see below), whose sum is σ = 402446016. Its totient is φ = 32440320.

The previous prime is 132625733. The next prime is 132625741. The reversal of 132625740 is 47526231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132625698 and 132625707.

It is not an unprimeable number, because it can be changed into a prime (132625741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150100 + ... + 150980.

It is an arithmetic number, because the mean of its divisors is an integer number (4192146).

Almost surely, 2132625740 is an apocalyptic number.

132625740 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 132625740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201223008).

132625740 is an abundant number, since it is smaller than the sum of its proper divisors (269820276).

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

132625740 is a wasteful number, since it uses less digits than its factorization.

132625740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 132625740 is about 11516.3249346308. The cubic root of 132625740 is about 509.9676257804.

The spelling of 132625740 in words is "one hundred thirty-two million, six hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 193 195 260 386 390 579 772 780 881 965 1158 1762 1930 2316 2509 2643 2895 3524 3860 4405 5018 5286 5790 7527 8810 10036 10572 11453 11580 12545 13215 15054 17620 22906 25090 26430 30108 34359 37635 45812 50180 52860 57265 68718 75270 114530 137436 150540 170033 171795 229060 340066 343590 510099 680132 687180 850165 1020198 1700330 2040396 2210429 2550495 3400660 4420858 5100990 6631287 8841716 10201980 11052145 13262574 22104290 26525148 33156435 44208580 66312870 132625740