Search a number
-
+
102935 = 5717173
BaseRepresentation
bin11001001000010111
312020012102
4121020113
511243220
62112315
7606050
oct311027
9166172
10102935
1170378
124b69b
1337b11
1429727
1520775
hex19217

102935 has 16 divisors (see below), whose sum is σ = 150336. Its totient is φ = 66048.

The previous prime is 102931. The next prime is 102953. The reversal of 102935 is 539201.

It is a cyclic number.

It is not a de Polignac number, because 102935 - 22 = 102931 is a prime.

It is a super-2 number, since 2×1029352 = 21191228450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102935.

It is not an unprimeable number, because it can be changed into a prime (102931) 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, 509 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (9396).

2102935 is an apocalyptic number.

102935 is a deficient number, since it is larger than the sum of its proper divisors (47401).

102935 is a wasteful number, since it uses less digits than its factorization.

102935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 102935 is about 320.8348484813. The cubic root of 102935 is about 46.8656188634.

The spelling of 102935 in words is "one hundred two thousand, nine hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 173 595 865 1211 2941 6055 14705 20587 102935