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215696 = 24131761
BaseRepresentation
bin110100101010010000
3101221212202
4310222100
523400241
64342332
71555565
oct645220
9357782
10215696
11138068
12a49a8
1377240
145886c
1543d9b
hex34a90

215696 has 40 divisors (see below), whose sum is σ = 484344. Its totient is φ = 92160.

The previous prime is 215693. The next prime is 215723. The reversal of 215696 is 696512.

It can be written as a sum of positive squares in 4 ways, for example, as 400 + 215296 = 20^2 + 464^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (215693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3506 + ... + 3566.

2215696 is an apocalyptic number.

215696 is a gapful number since it is divisible by the number (26) 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 215696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242172).

215696 is an abundant number, since it is smaller than the sum of its proper divisors (268648).

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

215696 is a wasteful number, since it uses less digits than its factorization.

215696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 215696 is about 464.4308344630. The cubic root of 215696 is about 59.9718386362.

The spelling of 215696 in words is "two hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 208 221 244 272 442 488 793 884 976 1037 1586 1768 2074 3172 3536 4148 6344 8296 12688 13481 16592 26962 53924 107848 215696