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5632680 = 233573643
BaseRepresentation
bin10101011111001010101000
3101121011120210
4111133022220
52420221210
6320421120
765606544
oct25371250
911534523
105632680
1131a7a09
121a777a0
131222a61
14a68a24
15763e20
hex55f2a8

5632680 has 64 divisors (see below), whose sum is σ = 17156160. Its totient is φ = 1479168.

The previous prime is 5632651. The next prime is 5632687. The reversal of 5632680 is 862365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5632687) 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, 8439 + ... + 9081.

It is an arithmetic number, because the mean of its divisors is an integer number (268065).

Almost surely, 25632680 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 5632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578080).

5632680 is an abundant number, since it is smaller than the sum of its proper divisors (11523480).

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

5632680 is a wasteful number, since it uses less digits than its factorization.

5632680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5632680 is about 2373.3267790172. The cubic root of 5632680 is about 177.9255674993.

The spelling of 5632680 in words is "five million, six hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 643 730 876 1095 1286 1460 1752 1929 2190 2572 2920 3215 3858 4380 5144 6430 7716 8760 9645 12860 15432 19290 25720 38580 46939 77160 93878 140817 187756 234695 281634 375512 469390 563268 704085 938780 1126536 1408170 1877560 2816340 5632680