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5903128 = 237211372
BaseRepresentation
bin10110100001001100011000
3102002220120101
4112201030120
53002400003
6330305144
7101114200
oct26411430
912086511
105903128
113372120
121b881b4
1312b8b9a
14ad9400
157b911d
hex5a1318

5903128 has 72 divisors (see below), whose sum is σ = 14435820. Its totient is φ = 2237760.

The previous prime is 5903119. The next prime is 5903137. The reversal of 5903128 is 8213095.

It is an interprime number because it is at equal distance from previous prime (5903119) and next prime (5903137).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5903096 and 5903105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159526 + ... + 159562.

Almost surely, 25903128 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 5903128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217910).

5903128 is an abundant number, since it is smaller than the sum of its proper divisors (8532692).

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

5903128 is a wasteful number, since it uses less digits than its factorization.

5903128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5903128 is about 2429.6353635885. The cubic root of 5903128 is about 180.7288146160.

The spelling of 5903128 in words is "five million, nine hundred three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 148 154 196 259 296 308 392 407 518 539 616 814 1036 1078 1369 1628 1813 2072 2156 2738 2849 3256 3626 4312 5476 5698 7252 9583 10952 11396 14504 15059 19166 19943 22792 30118 38332 39886 60236 67081 76664 79772 105413 120472 134162 159544 210826 268324 421652 536648 737891 843304 1475782 2951564 5903128