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2593136 = 247132137
BaseRepresentation
bin1001111001000101110000
311212202010002
421321011300
51130440021
6131325132
731020110
oct11710560
94782102
102593136
111511297
12a507a8
136ca400
144b7040
1536350b
hex279170

2593136 has 60 divisors (see below), whose sum is σ = 6262992. Its totient is φ = 1018368.

The previous prime is 2593121. The next prime is 2593141. The reversal of 2593136 is 6313952.

It is a junction number, because it is equal to n+sod(n) for n = 2593099 and 2593108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18860 + ... + 18996.

22593136 is an apocalyptic number.

2593136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2593136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131496).

2593136 is an abundant number, since it is smaller than the sum of its proper divisors (3669856).

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

2593136 is a wasteful number, since it uses less digits than its factorization.

2593136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 2593136 is about 1610.3217069890. The cubic root of 2593136 is about 137.3857740053.

The spelling of 2593136 in words is "two million, five hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 169 182 208 274 338 364 548 676 728 959 1096 1183 1352 1456 1781 1918 2192 2366 2704 3562 3836 4732 7124 7672 9464 12467 14248 15344 18928 23153 24934 28496 46306 49868 92612 99736 162071 185224 199472 324142 370448 648284 1296568 2593136