Search a number
-
+
5652240 = 2435112141
BaseRepresentation
bin10101100011111100010000
3101122011102020
4111203330100
52421332430
6321051440
766020556
oct25437420
911564366
105652240
113210680
121a86b80
13122b929
14a71bd6
15769b10
hex563f10

5652240 has 80 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 1369600.

The previous prime is 5652203. The next prime is 5652271. The reversal of 5652240 is 422565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5652240.

It is an unprimeable number.

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, 1570 + ... + 3710.

Almost surely, 25652240 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 5652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888).

5652240 is an abundant number, since it is smaller than the sum of its proper divisors (13471536).

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

5652240 is a wasteful number, since it uses less digits than its factorization.

5652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5652240 is about 2377.4440056498. Note that the first 3 decimals coincide. The cubic root of 5652240 is about 178.1312838657.

The spelling of 5652240 in words is "five million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2141 2640 4282 6423 8564 10705 12846 17128 21410 23551 25692 32115 34256 42820 47102 51384 64230 70653 85640 94204 102768 117755 128460 141306 171280 188408 235510 256920 282612 353265 376816 471020 513840 565224 706530 942040 1130448 1413060 1884080 2826120 5652240