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5902240 = 25537997
BaseRepresentation
bin10110100000111110100000
3102002212100111
4112200332200
53002332430
6330301104
7101111461
oct26407640
912085314
105902240
113371493
121b87794
1312b8666
14ad8d68
157b8c2a
hex5a0fa0

5902240 has 48 divisors (see below), whose sum is σ = 14335272. Its totient is φ = 2294784.

The previous prime is 5902219. The next prime is 5902249. The reversal of 5902240 is 422095.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 7056 = 2428^2 + 84^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5902249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5422 + ... + 6418.

Almost surely, 25902240 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 5902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167636).

5902240 is an abundant number, since it is smaller than the sum of its proper divisors (8433032).

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

5902240 is a wasteful number, since it uses less digits than its factorization.

5902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5902240 is about 2429.4526132444. The cubic root of 5902240 is about 180.7197518933.

The spelling of 5902240 in words is "five million, nine hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 997 1184 1480 1994 2960 3988 4985 5920 7976 9970 15952 19940 31904 36889 39880 73778 79760 147556 159520 184445 295112 368890 590224 737780 1180448 1475560 2951120 5902240