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20652640 = 255294451
BaseRepresentation
bin100111011001…
…0001001100000
31102212021002121
41032302021200
520241341030
62014354024
7340354531
oct116621140
942767077
1020652640
11107266a8
126abb914
1343814c8
142a58688
151c2e47a
hex13b2260

20652640 has 48 divisors (see below), whose sum is σ = 50485680. Its totient is φ = 7974400.

The previous prime is 20652629. The next prime is 20652647. The reversal of 20652640 is 4625602.

20652640 = T223 + T224 + ... + T512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20652647) 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, 2415 + ... + 6865.

It is an arithmetic number, because the mean of its divisors is an integer number (1051785).

Almost surely, 220652640 is an apocalyptic number.

20652640 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 20652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242840).

20652640 is an abundant number, since it is smaller than the sum of its proper divisors (29833040).

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

20652640 is a wasteful number, since it uses less digits than its factorization.

20652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 20652640 is about 4544.5175761570. The cubic root of 20652640 is about 274.3627780319.

The spelling of 20652640 in words is "twenty million, six hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4451 4640 8902 17804 22255 35608 44510 71216 89020 129079 142432 178040 258158 356080 516316 645395 712160 1032632 1290790 2065264 2581580 4130528 5163160 10326320 20652640