Search a number
-
+
5105640 = 2335157271
BaseRepresentation
bin10011011110011111101000
3100121101121210
4103132133220
52301340030
6301233120
761253151
oct23363750
910541553
105105640
112977a41
1218627a0
131099bb7
1496c928
156acbb0
hex4de7e8

5105640 has 64 divisors (see below), whose sum is σ = 15471360. Its totient is φ = 1347840.

The previous prime is 5105629. The next prime is 5105641. The reversal of 5105640 is 465015.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5105641) 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, 18705 + ... + 18975.

It is an arithmetic number, because the mean of its divisors is an integer number (241740).

Almost surely, 25105640 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 5105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735680).

5105640 is an abundant number, since it is smaller than the sum of its proper divisors (10365720).

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

5105640 is a wasteful number, since it uses less digits than its factorization.

5105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5105640 is about 2259.5663300731. The cubic root of 5105640 is about 172.1934905629.

The spelling of 5105640 in words is "five million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 271 314 471 542 628 785 813 942 1084 1256 1355 1570 1626 1884 2168 2355 2710 3140 3252 3768 4065 4710 5420 6280 6504 8130 9420 10840 16260 18840 32520 42547 85094 127641 170188 212735 255282 340376 425470 510564 638205 850940 1021128 1276410 1701880 2552820 5105640