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102492 = 22331373
BaseRepresentation
bin11001000001011100
312012121000
4121001130
511234432
62110300
7604545
oct310134
9165530
10102492
1170005
124b390
1337860
14294cc
152057c
hex1905c

102492 has 48 divisors (see below), whose sum is σ = 290080. Its totient is φ = 31104.

The previous prime is 102481. The next prime is 102497. The reversal of 102492 is 294201.

It is a super-2 number, since 2×1024922 = 21009220128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102497) by changing a digit.

102492 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368 + ... + 1440.

2102492 is an apocalyptic number.

102492 is a gapful number since it is divisible by the number (12) 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 102492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145040).

102492 is an abundant number, since it is smaller than the sum of its proper divisors (187588).

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

102492 is a wasteful number, since it uses less digits than its factorization.

102492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102492 is about 320.1437177269. The cubic root of 102492 is about 46.7982905358.

Adding to 102492 its reverse (294201), we get a palindrome (396693).

The spelling of 102492 in words is "one hundred two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 108 117 146 156 219 234 292 351 438 468 657 702 876 949 1314 1404 1898 1971 2628 2847 3796 3942 5694 7884 8541 11388 17082 25623 34164 51246 102492