Search a number
-
+
5031840 = 253511953
BaseRepresentation
bin10011001100011110100000
3100110122101110
4103030132200
52242004330
6255503320
760525042
oct23143640
910418343
105031840
112927550
121827b40
131072428
1494da92
15695db0
hex4cc7a0

5031840 has 96 divisors (see below), whose sum is σ = 17309376. Its totient is φ = 1218560.

The previous prime is 5031833. The next prime is 5031857. The reversal of 5031840 is 481305.

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

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, 4804 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (180306).

Almost surely, 25031840 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 5031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654688).

5031840 is an abundant number, since it is smaller than the sum of its proper divisors (12277536).

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

5031840 is a wasteful number, since it uses less digits than its factorization.

5031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5031840 is about 2243.1763194185. The cubic root of 5031840 is about 171.3597978100.

The spelling of 5031840 in words is "five million, thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 953 1056 1320 1760 1906 2640 2859 3812 4765 5280 5718 7624 9530 10483 11436 14295 15248 19060 20966 22872 28590 30496 31449 38120 41932 45744 52415 57180 62898 76240 83864 91488 104830 114360 125796 152480 157245 167728 209660 228720 251592 314490 335456 419320 457440 503184 628980 838640 1006368 1257960 1677280 2515920 5031840