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132388740 = 223251166863
BaseRepresentation
bin1111110010000…
…01011110000100
3100020010001012200
413321001132010
5232342414430
621045314500
73165200001
oct771013604
9306101180
10132388740
1168803690
1238405a30
1321573b43
14138228a8
15b951460
hex7e41784

132388740 has 72 divisors (see below), whose sum is σ = 438092928. Its totient is φ = 32093760.

The previous prime is 132388723. The next prime is 132388783. The reversal of 132388740 is 47883231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132388695 and 132388704.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31452 + ... + 35411.

It is an arithmetic number, because the mean of its divisors is an integer number (6084624).

Almost surely, 2132388740 is an apocalyptic number.

132388740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132388740 is an abundant number, since it is smaller than the sum of its proper divisors (305704188).

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

132388740 is a wasteful number, since it uses less digits than its factorization.

132388740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66889 (or 66884 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 132388740 is about 11506.0305926936. The cubic root of 132388740 is about 509.6636767585.

The spelling of 132388740 in words is "one hundred thirty-two million, three hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66863 133726 200589 267452 334315 401178 601767 668630 735493 802356 1002945 1203534 1337260 1470986 2005890 2206479 2407068 2941972 3008835 3677465 4011780 4412958 6017670 6619437 7354930 8825916 11032395 12035340 13238874 14709860 22064790 26477748 33097185 44129580 66194370 132388740