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5626920 = 2335133607
BaseRepresentation
bin10101011101110000101000
3101120212200110
4111131300220
52420030140
6320334320
765554005
oct25356050
911525613
105626920
1131a3652
121a743a0
131220250
14a668ac
15762380
hex55dc28

5626920 has 64 divisors (see below), whose sum is σ = 18184320. Its totient is φ = 1384704.

The previous prime is 5626909. The next prime is 5626921. The reversal of 5626920 is 296265.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5626921) 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 15 ways as a sum of consecutive naturals, for example, 244 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (284130).

Almost surely, 25626920 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 5626920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092160).

5626920 is an abundant number, since it is smaller than the sum of its proper divisors (12557400).

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

5626920 is a wasteful number, since it uses less digits than its factorization.

5626920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5626920 is about 2372.1129821322. The cubic root of 5626920 is about 177.8648976935.

The spelling of 5626920 in words is "five million, six hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3607 7214 10821 14428 18035 21642 28856 36070 43284 46891 54105 72140 86568 93782 108210 140673 144280 187564 216420 234455 281346 375128 432840 468910 562692 703365 937820 1125384 1406730 1875640 2813460 5626920