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132942880 = 2557231547
BaseRepresentation
bin1111110110010…
…00110000100000
3100021011012100101
413323020300200
5233013133010
621105232144
73202665400
oct773106040
9307135311
10132942880
1169051a54
1238632654
1321709135
1413928800
15ba1073a
hex7ec8c20

132942880 has 144 divisors (see below), whose sum is σ = 377830656. Its totient is φ = 44029440.

The previous prime is 132942877. The next prime is 132942881. The reversal of 132942880 is 88249231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132942881) 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, 242767 + ... + 243313.

It is an arithmetic number, because the mean of its divisors is an integer number (2623824).

Almost surely, 2132942880 is an apocalyptic number.

132942880 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 132942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188915328).

132942880 is an abundant number, since it is smaller than the sum of its proper divisors (244887776).

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

132942880 is a wasteful number, since it uses less digits than its factorization.

132942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 132942880 is about 11530.0858626465. The cubic root of 132942880 is about 510.3737872369.

The spelling of 132942880 in words is "one hundred thirty-two million, nine hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 547 560 620 784 868 980 992 1085 1094 1120 1240 1519 1568 1736 1960 2170 2188 2480 2735 3038 3472 3829 3920 4340 4376 4960 5470 6076 6944 7595 7658 7840 8680 8752 10940 12152 15190 15316 16957 17360 17504 19145 21880 24304 26803 30380 30632 33914 34720 38290 43760 48608 53606 60760 61264 67828 76580 84785 87520 107212 118699 121520 122528 134015 135656 153160 169570 214424 237398 243040 268030 271312 306320 339140 428848 474796 536060 542624 593495 612640 678280 830893 857696 949592 1072120 1186990 1356560 1661786 1899184 2144240 2373980 2713120 3323572 3798368 4154465 4288480 4747960 6647144 8308930 9495920 13294288 16617860 18991840 26588576 33235720 66471440 132942880