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132939720 = 233251792063
BaseRepresentation
bin1111110110001…
…11111111001000
3100021011001000100
413323013333020
5233013032340
621105205400
73202653234
oct773077710
9307131010
10132939720
116904a641
1238630860
1321707874
14139275c4
15ba0e830
hex7ec7fc8

132939720 has 96 divisors (see below), whose sum is σ = 434678400. Its totient is φ = 35235456.

The previous prime is 132939707. The next prime is 132939721. The reversal of 132939720 is 27939231.

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

It is not an unprimeable number, because it can be changed into a prime (132939721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63409 + ... + 65471.

It is an arithmetic number, because the mean of its divisors is an integer number (4527900).

Almost surely, 2132939720 is an apocalyptic number.

132939720 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 132939720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217339200).

132939720 is an abundant number, since it is smaller than the sum of its proper divisors (301738680).

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

132939720 is a wasteful number, since it uses less digits than its factorization.

132939720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 132939720 is about 11529.9488290278. The cubic root of 132939720 is about 510.3697434101.

The spelling of 132939720 in words is "one hundred thirty-two million, nine hundred thirty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2063 2148 2685 3222 3580 4126 4296 5370 6189 6444 7160 8055 8252 10315 10740 12378 12888 16110 16504 18567 20630 21480 24756 30945 32220 37134 41260 49512 61890 64440 74268 82520 92835 123780 148536 185670 247560 369277 371340 738554 742680 1107831 1477108 1846385 2215662 2954216 3323493 3692770 4431324 5539155 6646986 7385540 8862648 11078310 13293972 14771080 16617465 22156620 26587944 33234930 44313240 66469860 132939720