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5180640 = 253543251
BaseRepresentation
bin10011110000110011100000
3100202012111120
4103300303200
52311240030
6303012240
762014623
oct23606340
910665446
105180640
112a19323
12189a080
1310c508a
1498bdba
156c5010
hex4f0ce0

5180640 has 96 divisors (see below), whose sum is σ = 16765056. Its totient is φ = 1344000.

The previous prime is 5180621. The next prime is 5180653. The reversal of 5180640 is 460815.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5180640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20515 + ... + 20765.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 25180640 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 5180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528).

5180640 is an abundant number, since it is smaller than the sum of its proper divisors (11584416).

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

5180640 is a wasteful number, since it uses less digits than its factorization.

5180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5180640 is about 2276.1019309337. The cubic root of 5180640 is about 173.0325487000.

The spelling of 5180640 in words is "five million, one hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 251 258 344 430 480 502 516 645 688 753 860 1004 1032 1255 1290 1376 1506 1720 2008 2064 2510 2580 3012 3440 3765 4016 4128 5020 5160 6024 6880 7530 8032 10040 10320 10793 12048 15060 20080 20640 21586 24096 30120 32379 40160 43172 53965 60240 64758 86344 107930 120480 129516 161895 172688 215860 259032 323790 345376 431720 518064 647580 863440 1036128 1295160 1726880 2590320 5180640