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5006040 = 2335133209
BaseRepresentation
bin10011000110001011011000
3100102022222220
4103012023120
52240143130
6255144040
760356604
oct23061330
910368886
105006040
11290a126
121815020
131063770
14944504
1568d410
hex4c62d8

5006040 has 64 divisors (see below), whose sum is σ = 16178400. Its totient is φ = 1231872.

The previous prime is 5006021. The next prime is 5006047. The reversal of 5006040 is 406005.

5006040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×50060403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006047) 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, 45 + ... + 3164.

Almost surely, 25006040 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 5006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089200).

5006040 is an abundant number, since it is smaller than the sum of its proper divisors (11172360).

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

5006040 is a wasteful number, since it uses less digits than its factorization.

5006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5006040 is about 2237.4181549277. The cubic root of 5006040 is about 171.0664219921.

The spelling of 5006040 in words is "five million, six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3209 6418 9627 12836 16045 19254 25672 32090 38508 41717 48135 64180 77016 83434 96270 125151 128360 166868 192540 208585 250302 333736 385080 417170 500604 625755 834340 1001208 1251510 1668680 2503020 5006040