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5679696 = 2431131347
BaseRepresentation
bin10101101010101001010000
3101200120002010
4111222221100
52423222241
6321422520
766163611
oct25525120
911616063
105679696
11322a270
121a9aa40
13123b289
14a7bc08
15772d16
hex56aa50

5679696 has 80 divisors (see below), whose sum is σ = 16570368. Its totient is φ = 1660800.

The previous prime is 5679691. The next prime is 5679701. The reversal of 5679696 is 6969765.

It is an interprime number because it is at equal distance from previous prime (5679691) and next prime (5679701).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679691) 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, 16195 + ... + 16541.

Almost surely, 25679696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5679696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285184).

5679696 is an abundant number, since it is smaller than the sum of its proper divisors (10890672).

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

5679696 is a wasteful number, since it uses less digits than its factorization.

5679696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 5679696 is about 2383.2112789260. The cubic root of 5679696 is about 178.4192449092.

Subtracting from 5679696 its product of digits (612360), we obtain a triangular number (5067336 = T3183).

The spelling of 5679696 in words is "five million, six hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 347 372 496 528 682 694 744 1023 1041 1364 1388 1488 2046 2082 2728 2776 3817 4092 4164 5456 5552 7634 8184 8328 10757 11451 15268 16368 16656 21514 22902 30536 32271 43028 45804 61072 64542 86056 91608 118327 129084 172112 183216 236654 258168 354981 473308 516336 709962 946616 1419924 1893232 2839848 5679696