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5126640 = 243541521
BaseRepresentation
bin10011100011100111110000
3100122110102120
4103203213300
52303023030
6301514240
761401321
oct23434760
910573376
105126640
1129917a2
121872980
1310a661c
14976448
156b4010
hex4e39f0

5126640 has 80 divisors (see below), whose sum is σ = 16311456. Its totient is φ = 1331200.

The previous prime is 5126629. The next prime is 5126647. The reversal of 5126640 is 466215.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5126640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126647) 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, 9580 + ... + 10100.

Almost surely, 25126640 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 5126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728).

5126640 is an abundant number, since it is smaller than the sum of its proper divisors (11184816).

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

5126640 is a wasteful number, since it uses less digits than its factorization.

5126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5126640 is about 2264.2084709673. The cubic root of 5126640 is about 172.4292505498.

The spelling of 5126640 in words is "five million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 521 615 656 820 984 1042 1230 1563 1640 1968 2084 2460 2605 3126 3280 4168 4920 5210 6252 7815 8336 9840 10420 12504 15630 20840 21361 25008 31260 41680 42722 62520 64083 85444 106805 125040 128166 170888 213610 256332 320415 341776 427220 512664 640830 854440 1025328 1281660 1708880 2563320 5126640