Search a number
-
+
20715696 = 243379607
BaseRepresentation
bin100111100000…
…1100010110000
31102222110121000
41033001202300
520300400241
62020002000
7341036421
oct117014260
942873530
1020715696
111076a011
126b30300
1343a4111
142a73648
151c42eb6
hex13c18b0

20715696 has 80 divisors (see below), whose sum is σ = 60313600. Its totient is φ = 6806592.

The previous prime is 20715691. The next prime is 20715697. The reversal of 20715696 is 69651702.

20715696 is a `hidden beast` number, since 20 + 71 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20715696.

It is not an unprimeable number, because it can be changed into a prime (20715691) 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, 33825 + ... + 34431.

It is an arithmetic number, because the mean of its divisors is an integer number (753920).

Almost surely, 220715696 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 20715696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30156800).

20715696 is an abundant number, since it is smaller than the sum of its proper divisors (39597904).

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

20715696 is a wasteful number, since it uses less digits than its factorization.

20715696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20715696 is about 4551.4498788847. The cubic root of 20715696 is about 274.6417196475.

It can be divided in two parts, 20 and 715696, that added together give a square (715716 = 8462).

The spelling of 20715696 in words is "twenty million, seven hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 607 632 711 948 1214 1264 1422 1821 1896 2133 2428 2844 3642 3792 4266 4856 5463 5688 7284 8532 9712 10926 11376 14568 16389 17064 21852 29136 32778 34128 43704 47953 65556 87408 95906 131112 143859 191812 262224 287718 383624 431577 575436 767248 863154 1150872 1294731 1726308 2301744 2589462 3452616 5178924 6905232 10357848 20715696