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5900128 = 251321091
BaseRepresentation
bin10110100000011101100000
3102002202110021
4112200131200
53002301003
6330243224
7101102353
oct26403540
912082407
105900128
11336a943
121b86514
1312b7700
14ad829a
157b82bd
hex5a0760

5900128 has 36 divisors (see below), whose sum is σ = 12589668. Its totient is φ = 2720640.

The previous prime is 5900123. The next prime is 5900129. The reversal of 5900128 is 8210095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4863 + ... + 5953.

It is an arithmetic number, because the mean of its divisors is an integer number (349713).

Almost surely, 25900128 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 5900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294834).

5900128 is an abundant number, since it is smaller than the sum of its proper divisors (6689540).

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

5900128 is a wasteful number, since it uses less digits than its factorization.

5900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 5900128 is about 2429.0179085383. The cubic root of 5900128 is about 180.6981936572.

The spelling of 5900128 in words is "five million, nine hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1091 1352 2182 2704 4364 5408 8728 14183 17456 28366 34912 56732 113464 184379 226928 368758 453856 737516 1475032 2950064 5900128