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102132480 = 283526597
BaseRepresentation
bin1100001011001…
…10101100000000
321010011212102110
412011212230000
5202121214410
614045015320
72350053222
oct605465400
9233155373
10102132480
115271870a
122a254540
131820c328
14d7c8412
158e76720
hex6166b00

102132480 has 72 divisors (see below), whose sum is σ = 326197872. Its totient is φ = 27234304.

The previous prime is 102132473. The next prime is 102132487. The reversal of 102132480 is 84231201.

It is an interprime number because it is at equal distance from previous prime (102132473) and next prime (102132487).

It is not an unprimeable number, because it can be changed into a prime (102132487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9459 + ... + 17138.

It is an arithmetic number, because the mean of its divisors is an integer number (4530526).

Almost surely, 2102132480 is an apocalyptic number.

102132480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132480 is an abundant number, since it is smaller than the sum of its proper divisors (224065392).

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

102132480 is an equidigital number, since it uses as much as digits as its factorization.

102132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26621 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102132480 is about 10106.0615474081. The cubic root of 102132480 is about 467.4350696711.

Adding to 102132480 its reverse (84231201), we get a palindrome (186363681).

The spelling of 102132480 in words is "one hundred two million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 26597 53194 79791 106388 132985 159582 212776 265970 319164 398955 425552 531940 638328 797910 851104 1063880 1276656 1595820 1702208 2127760 2553312 3191640 3404416 4255520 5106624 6383280 6808832 8511040 10213248 12766560 17022080 20426496 25533120 34044160 51066240 102132480