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5900944 = 247194759
BaseRepresentation
bin10110100000101010010000
3102002210120111
4112200222100
53002312234
6330251104
7101104630
oct26405220
912083514
105900944
113370515
121b86a94
1312b7baa
14ad86c0
157b8664
hex5a0a90

5900944 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 2305152.

The previous prime is 5900941. The next prime is 5900953. The reversal of 5900944 is 4490095.

5900944 = T267 + T268 + ... + T378.

It is a happy number.

It is a super-2 number, since 2×59009442 = 69642280182272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900941) 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, 99987 + ... + 100045.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 25900944 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 5900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

5900944 is an abundant number, since it is smaller than the sum of its proper divisors (8383856).

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

5900944 is a wasteful number, since it uses less digits than its factorization.

5900944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5900944 is about 2429.1858718509. The cubic root of 5900944 is about 180.7065235855.

It can be divided in two parts, 5900 and 944, that multiplied together give a square (5569600 = 23602).

The spelling of 5900944 in words is "five million, nine hundred thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 59 76 94 112 118 133 152 188 236 266 304 329 376 413 472 532 658 752 826 893 944 1064 1121 1316 1652 1786 2128 2242 2632 2773 3304 3572 4484 5264 5546 6251 6608 7144 7847 8968 11092 12502 14288 15694 17936 19411 22184 25004 31388 38822 44368 50008 52687 62776 77644 100016 105374 125552 155288 210748 310576 368809 421496 737618 842992 1475236 2950472 5900944