Search a number
-
+
102536837 = 1329271981
BaseRepresentation
bin1100001110010…
…01011010000101
321010221102002122
412013021122011
5202222134322
614101415325
72353356134
oct607113205
9233842078
10102536837
1152974497
122a40a545
13183213b0
14d89191b
159006442
hex61c9685

102536837 has 8 divisors (see below), whose sum is σ = 114232440. Its totient is φ = 91385280.

The previous prime is 102536827. The next prime is 102536881. The reversal of 102536837 is 738635201.

It can be written as a sum of positive squares in 4 ways, for example, as 14945956 + 87590881 = 3866^2 + 9359^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102536837 - 26 = 102536773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102536797 and 102536806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102536827) 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, 135614 + ... + 136367.

It is an arithmetic number, because the mean of its divisors is an integer number (14279055).

Almost surely, 2102536837 is an apocalyptic number.

It is an amenable number.

102536837 is a deficient number, since it is larger than the sum of its proper divisors (11695603).

102536837 is a wasteful number, since it uses less digits than its factorization.

102536837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272023.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 102536837 is about 10126.0474519923. The cubic root of 102536837 is about 468.0511379701.

The spelling of 102536837 in words is "one hundred two million, five hundred thirty-six thousand, eight hundred thirty-seven".

Divisors: 1 13 29 377 271981 3535753 7887449 102536837