Search a number
-
+
5493760 = 21052937
BaseRepresentation
bin10100111101010000000000
3101100010000121
4110331100000
52401300020
6313430024
764460536
oct24752000
911303017
105493760
1131125a8
121a0b314
1311a475c
14a30156
15737baa
hex53d400

5493760 has 88 divisors (see below), whose sum is σ = 14001480. Its totient is φ = 2064384.

The previous prime is 5493751. The next prime is 5493773. The reversal of 5493760 is 673945.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 3936256 = 1248^2 + 1984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148462 + ... + 148498.

Almost surely, 25493760 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 5493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000740).

5493760 is an abundant number, since it is smaller than the sum of its proper divisors (8507720).

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

5493760 is a wasteful number, since it uses less digits than its factorization.

5493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 5493760 is about 2343.8771298854. The cubic root of 5493760 is about 176.4506358270.

The spelling of 5493760 in words is "five million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 256 290 296 320 370 464 512 580 592 640 740 928 1024 1073 1160 1184 1280 1480 1856 2146 2320 2368 2560 2960 3712 4292 4640 4736 5120 5365 5920 7424 8584 9280 9472 10730 11840 14848 17168 18560 18944 21460 23680 29696 34336 37120 37888 42920 47360 68672 74240 85840 94720 137344 148480 171680 189440 274688 343360 549376 686720 1098752 1373440 2746880 5493760