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5812640 = 255172137
BaseRepresentation
bin10110001011000110100000
3101221022102222
4112023012200
52442001030
6324330212
7100256321
oct26130640
911838388
105812640
113310139
121b43968
131286942
14ab4448
1579c3e5
hex58b1a0

5812640 has 48 divisors (see below), whose sum is σ = 14546952. Its totient is φ = 2187264.

The previous prime is 5812633. The next prime is 5812649. The reversal of 5812640 is 462185.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 1860496 = 1988^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (5812649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652 + ... + 3788.

Almost surely, 25812640 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 5812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273476).

5812640 is an abundant number, since it is smaller than the sum of its proper divisors (8734312).

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

5812640 is a wasteful number, since it uses less digits than its factorization.

5812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5812640 is about 2410.9417247209. The cubic root of 5812640 is about 179.8006022409.

The spelling of 5812640 in words is "five million, eight hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2137 2720 4274 8548 10685 17096 21370 34192 36329 42740 68384 72658 85480 145316 170960 181645 290632 341920 363290 581264 726580 1162528 1453160 2906320 5812640