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5652640 = 25573103
BaseRepresentation
bin10101100100000010100000
3101122011222001
4111210002200
52421341030
6321053344
766022000
oct25440240
911564861
105652640
113210a04
121a87254
13122bb76
14a72000
15769cca
hex5640a0

5652640 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1919232.

The previous prime is 5652623. The next prime is 5652649. The reversal of 5652640 is 462565.

5652640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5652599 and 5652608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652649) 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 15 ways as a sum of consecutive naturals, for example, 54829 + ... + 54931.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 25652640 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 5652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5652640 is an abundant number, since it is smaller than the sum of its proper divisors (10072160).

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

5652640 is a wasteful number, since it uses less digits than its factorization.

5652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5652640 is about 2377.5281281196. The cubic root of 5652640 is about 178.1354857888.

The spelling of 5652640 in words is "five million, six hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 103 112 140 160 196 206 224 245 280 343 392 412 490 515 560 686 721 784 824 980 1030 1120 1372 1442 1568 1648 1715 1960 2060 2744 2884 3296 3430 3605 3920 4120 5047 5488 5768 6860 7210 7840 8240 10094 10976 11536 13720 14420 16480 20188 23072 25235 27440 28840 35329 40376 50470 54880 57680 70658 80752 100940 115360 141316 161504 176645 201880 282632 353290 403760 565264 706580 807520 1130528 1413160 2826320 5652640