Search a number
-
+
5633540 = 2251129883
BaseRepresentation
bin10101011111011000000100
3101121012202122
4111133120010
52420233130
6320425112
765612213
oct25373004
911535678
105633540
1131a8620
121a78198
131223273
14a6907a
157642e5
hex55f604

5633540 has 48 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1975680.

The previous prime is 5633539. The next prime is 5633543. The reversal of 5633540 is 453365.

It is not an unprimeable number, because it can be changed into a prime (5633543) 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, 5939 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 25633540 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 5633540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

5633540 is an abundant number, since it is smaller than the sum of its proper divisors (7732540).

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

5633540 is a wasteful number, since it uses less digits than its factorization.

5633540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 5633540 is about 2373.5079523777. The cubic root of 5633540 is about 177.9346222892.

The spelling of 5633540 in words is "five million, six hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 883 1276 1595 1766 3190 3532 4415 6380 8830 9713 17660 19426 25607 38852 48565 51214 97130 102428 128035 194260 256070 281677 512140 563354 1126708 1408385 2816770 5633540