Search a number
-
+
5593440 = 253543271
BaseRepresentation
bin10101010101100101100000
3101112011202110
4111111211200
52412442230
6315515320
765354256
oct25254540
911464673
105593440
113180486
121a58b40
13120ac38
14a585d6
157574b0
hex555960

5593440 has 96 divisors (see below), whose sum is σ = 18095616. Its totient is φ = 1451520.

The previous prime is 5593411. The next prime is 5593463. The reversal of 5593440 is 443955.

5593440 = T112 + T113 + ... + T326.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5593398 and 5593407.

It is a congruent number.

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, 20505 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (188496).

Almost surely, 25593440 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 5593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047808).

5593440 is an abundant number, since it is smaller than the sum of its proper divisors (12502176).

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

5593440 is a wasteful number, since it uses less digits than its factorization.

5593440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5593440 is about 2365.0454541087. The cubic root of 5593440 is about 177.5114321804.

The spelling of 5593440 in words is "five million, five hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 271 344 430 480 516 542 645 688 813 860 1032 1084 1290 1355 1376 1626 1720 2064 2168 2580 2710 3252 3440 4065 4128 4336 5160 5420 6504 6880 8130 8672 10320 10840 11653 13008 16260 20640 21680 23306 26016 32520 34959 43360 46612 58265 65040 69918 93224 116530 130080 139836 174795 186448 233060 279672 349590 372896 466120 559344 699180 932240 1118688 1398360 1864480 2796720 5593440