Search a number
-
+
5390112 = 253713617
BaseRepresentation
bin10100100011111100100000
3101010211211210
4110203330200
52334440422
6311310120
763546420
oct24437440
911124753
105390112
113051742
12197b340
131169520
14a04480
1571710c
hex523f20

5390112 has 96 divisors (see below), whose sum is σ = 17442432. Its totient is φ = 1419264.

The previous prime is 5390087. The next prime is 5390131. The reversal of 5390112 is 2110935.

5390112 = T378 + T379 + ... + T441.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 8428 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (181692).

Almost surely, 25390112 is an apocalyptic number.

5390112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721216).

5390112 is an abundant number, since it is smaller than the sum of its proper divisors (12052320).

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

5390112 is a wasteful number, since it uses less digits than its factorization.

5390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5390112 is about 2321.6614740310. The cubic root of 5390112 is about 175.3339148379. Note that the first 3 decimals are identical.

The spelling of 5390112 in words is "five million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 617 624 672 728 1092 1234 1248 1456 1851 2184 2468 2912 3702 4319 4368 4936 7404 8021 8638 8736 9872 12957 14808 16042 17276 19744 24063 25914 29616 32084 34552 48126 51828 56147 59232 64168 69104 96252 103656 112294 128336 138208 168441 192504 207312 224588 256672 336882 385008 414624 449176 673764 770016 898352 1347528 1796704 2695056 5390112