Search a number
-
+
5140688 = 24727983
BaseRepresentation
bin10011100111000011010000
3100200011200212
4103213003100
52304000223
6302103252
761460300
oct23470320
910604625
105140688
1129a1303
12187ab28
1310acb37
1497b600
156b8278
hex4e70d0

5140688 has 60 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 2149056.

The previous prime is 5140687. The next prime is 5140691. The reversal of 5140688 is 8860415.

It is a super-2 number, since 2×51406882 = 52853346226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61895 + ... + 61977.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 25140688 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 5140688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

5140688 is an abundant number, since it is smaller than the sum of its proper divisors (6733552).

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

5140688 is a wasteful number, since it uses less digits than its factorization.

5140688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5140688 is about 2267.3085365693. The cubic root of 5140688 is about 172.5866035764.

The spelling of 5140688 in words is "five million, one hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 83 98 112 158 166 196 316 332 392 553 581 632 664 784 1106 1162 1264 1328 2212 2324 3871 4067 4424 4648 6557 7742 8134 8848 9296 13114 15484 16268 26228 30968 32536 45899 52456 61936 65072 91798 104912 183596 321293 367192 642586 734384 1285172 2570344 5140688