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102132240 = 2435760793
BaseRepresentation
bin1100001011001…
…10101000010000
321010011212002120
412011212220100
5202121212430
614045014240
72350052430
oct605465020
9233155076
10102132240
1152718511
122a254380
131820c1a2
14d7c82c0
158e76610
hex6166a10

102132240 has 80 divisors (see below), whose sum is σ = 361845888. Its totient is φ = 23344128.

The previous prime is 102132223. The next prime is 102132241. The reversal of 102132240 is 42231201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102132241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28717 + ... + 32076.

Almost surely, 2102132240 is an apocalyptic number.

102132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132240 is an abundant number, since it is smaller than the sum of its proper divisors (259713648).

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

102132240 is a wasteful number, since it uses less digits than its factorization.

102132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60816 (or 60810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102132240 is about 10106.0496733392. The cubic root of 102132240 is about 467.4347035306.

Adding to 102132240 its reverse (42231201), we get a palindrome (144363441).

The spelling of 102132240 in words is "one hundred two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 60793 121586 182379 243172 303965 364758 425551 486344 607930 729516 851102 911895 972688 1215860 1276653 1459032 1702204 1823790 2127755 2431720 2553306 2918064 3404408 3647580 4255510 4863440 5106612 6383265 6808816 7295160 8511020 10213224 12766530 14590320 17022040 20426448 25533060 34044080 51066120 102132240