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5009940 = 22325132141
BaseRepresentation
bin10011000111001000010100
3100102112100100
4103013020110
52240304230
6255214100
760404145
oct23071024
910375310
105009940
112912051
121817330
131065480
14945acc
1568e660
hex4c7214

5009940 has 72 divisors (see below), whose sum is σ = 16373448. Its totient is φ = 1232640.

The previous prime is 5009909. The next prime is 5009947. The reversal of 5009940 is 499005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 799236 + 4210704 = 894^2 + 2052^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (227409).

Almost surely, 25009940 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 5009940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186724).

5009940 is an abundant number, since it is smaller than the sum of its proper divisors (11363508).

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

5009940 is a wasteful number, since it uses less digits than its factorization.

5009940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5009940 is about 2238.2895255083. The cubic root of 5009940 is about 171.1108340669.

It can be divided in two parts, 500 and 9940, that added together give a triangular number (10440 = T144).

The spelling of 5009940 in words is "five million, nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2141 2340 4282 6423 8564 10705 12846 19269 21410 25692 27833 32115 38538 42820 55666 64230 77076 83499 96345 111332 128460 139165 166998 192690 250497 278330 333996 385380 417495 500994 556660 834990 1001988 1252485 1669980 2504970 5009940