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5674240 = 285111331
BaseRepresentation
bin10101101001010100000000
3101200021121001
4111221110000
52423033430
6321341344
766141655
oct25512400
911607531
105674240
113226160
121a97854
131238950
14a79c2c
157713ca
hex569500

5674240 has 144 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 1843200.

The previous prime is 5674231. The next prime is 5674241. The reversal of 5674240 is 424765.

It is an Ulam number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5674199 and 5674208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183025 + ... + 183055.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

Almost surely, 25674240 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 5674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

5674240 is an abundant number, since it is smaller than the sum of its proper divisors (10808576).

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

5674240 is a wasteful number, since it uses less digits than its factorization.

5674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5674240 is about 2382.0663298909. The cubic root of 5674240 is about 178.3620958839.

The spelling of 5674240 in words is "five million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 32 40 44 52 55 62 64 65 80 88 104 110 124 128 130 143 155 160 176 208 220 248 256 260 286 310 320 341 352 403 416 440 496 520 572 620 640 682 704 715 806 832 880 992 1040 1144 1240 1280 1364 1408 1430 1612 1664 1705 1760 1984 2015 2080 2288 2480 2728 2816 2860 3224 3328 3410 3520 3968 4030 4160 4433 4576 4960 5456 5720 6448 6820 7040 7936 8060 8320 8866 9152 9920 10912 11440 12896 13640 14080 16120 16640 17732 18304 19840 21824 22165 22880 25792 27280 32240 35464 36608 39680 43648 44330 45760 51584 54560 64480 70928 87296 88660 91520 103168 109120 128960 141856 177320 183040 218240 257920 283712 354640 436480 515840 567424 709280 1134848 1418560 2837120 5674240