Search a number
-
+
20715640 = 2351123289
BaseRepresentation
bin100111100000…
…1100001111000
31102222110111221
41033001201320
520300400030
62020001424
7341036311
oct117014170
942873457
1020715640
1110769a70
126b30274
1343a409a
142a73608
151c42e7a
hex13c1878

20715640 has 96 divisors (see below), whose sum is σ = 53751600. Its totient is φ = 7124480.

The previous prime is 20715623. The next prime is 20715641. The reversal of 20715640 is 4651702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20715641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232716 + ... + 232804.

Almost surely, 220715640 is an apocalyptic number.

20715640 is a gapful number since it is divisible by the number (20) 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 20715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26875800).

20715640 is an abundant number, since it is smaller than the sum of its proper divisors (33035960).

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

20715640 is a wasteful number, since it uses less digits than its factorization.

20715640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 20715640 is about 4551.4437269948. The cubic root of 20715640 is about 274.6414721709.

The spelling of 20715640 in words is "twenty million, seven hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 89 92 110 115 178 184 220 230 253 356 440 445 460 506 529 712 890 920 979 1012 1058 1265 1780 1958 2024 2047 2116 2530 2645 3560 3916 4094 4232 4895 5060 5290 5819 7832 8188 9790 10120 10235 10580 11638 16376 19580 20470 21160 22517 23276 29095 39160 40940 45034 46552 47081 58190 81880 90068 94162 112585 116380 180136 188324 225170 232760 235405 376648 450340 470810 517891 900680 941620 1035782 1883240 2071564 2589455 4143128 5178910 10357820 20715640