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102704 = 2472131
BaseRepresentation
bin11001000100110000
312012212212
4121010300
511241304
62111252
7605300
oct310460
9165785
10102704
1170188
124b528
1337994
1429600
152066e
hex19130

102704 has 30 divisors (see below), whose sum is σ = 233244. Its totient is φ = 43680.

The previous prime is 102701. The next prime is 102761. The reversal of 102704 is 407201.

It is a happy number.

It is a super-2 number, since 2×1027042 = 21096223232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (102701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 719 + ... + 849.

2102704 is an apocalyptic number.

102704 is a gapful number since it is divisible by the number (14) 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 102704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622).

102704 is an abundant number, since it is smaller than the sum of its proper divisors (130540).

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

102704 is a wasteful number, since it uses less digits than its factorization.

102704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102704 is about 320.4746479833. The cubic root of 102704 is about 46.8305350197.

Adding to 102704 its reverse (407201), we get a palindrome (509905).

The spelling of 102704 in words is "one hundred two thousand, seven hundred four", and thus it is an iban number.