Search a number
-
+
5027040 = 253253491
BaseRepresentation
bin10011001011010011100000
3100110101210200
4103023103200
52241331130
6255425200
760505044
oct23132340
910411720
105027040
112923987
121825200
1310701a5
1494c024
15694760
hex4cb4e0

5027040 has 72 divisors (see below), whose sum is σ = 17159688. Its totient is φ = 1340160.

The previous prime is 5027023. The next prime is 5027059. The reversal of 5027040 is 407205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×50270402 = 50542262323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 3185.

It is an arithmetic number, because the mean of its divisors is an integer number (238329).

Almost surely, 25027040 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 5027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579844).

5027040 is an abundant number, since it is smaller than the sum of its proper divisors (12132648).

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

5027040 is a wasteful number, since it uses less digits than its factorization.

5027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5027040 is about 2242.1061527055. The cubic root of 5027040 is about 171.3052923202.

The spelling of 5027040 in words is "five million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3491 6982 10473 13964 17455 20946 27928 31419 34910 41892 52365 55856 62838 69820 83784 104730 111712 125676 139640 157095 167568 209460 251352 279280 314190 335136 418920 502704 558560 628380 837840 1005408 1256760 1675680 2513520 5027040