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5732040 = 2335371291
BaseRepresentation
bin10101110111011011001000
3101210012212210
4111313123020
52431411130
6322505120
766502326
oct25673310
911705783
105732040
113265626
121b051a0
131259052
14a92d16
157835b0
hex5776c8

5732040 has 64 divisors (see below), whose sum is σ = 17674560. Its totient is φ = 1486080.

The previous prime is 5732039. The next prime is 5732047. The reversal of 5732040 is 402375.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5731998 and 5732016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5732047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (276165).

Almost surely, 25732040 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 5732040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837280).

5732040 is an abundant number, since it is smaller than the sum of its proper divisors (11942520).

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

5732040 is a wasteful number, since it uses less digits than its factorization.

5732040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5732040 is about 2394.1679139108. The cubic root of 5732040 is about 178.9656728074.

The spelling of 5732040 in words is "five million, seven hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1291 1480 2220 2582 3873 4440 5164 6455 7746 10328 12910 15492 19365 25820 30984 38730 47767 51640 77460 95534 143301 154920 191068 238835 286602 382136 477670 573204 716505 955340 1146408 1433010 1910680 2866020 5732040