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5740944 = 2431183131
BaseRepresentation
bin10101111001100110010000
3101210200002120
4111321212100
52432202234
6323014240
766540306
oct25714620
911720076
105740944
113271290
121b0a380
131260111
14a96276
15786049
hex579990

5740944 has 80 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1705600.

The previous prime is 5740937. The next prime is 5740949. The reversal of 5740944 is 4490475.

It is a happy number.

It is a super-2 number, since 2×57409442 = 65916876022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5740949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43759 + ... + 43889.

Almost surely, 25740944 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 5740944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

5740944 is an abundant number, since it is smaller than the sum of its proper divisors (10758000).

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

5740944 is a wasteful number, since it uses less digits than its factorization.

5740944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5740944 is about 2396.0267110364. The cubic root of 5740944 is about 179.0582917212.

The spelling of 5740944 in words is "five million, seven hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 131 132 166 176 249 262 264 332 393 498 524 528 664 786 913 996 1048 1328 1441 1572 1826 1992 2096 2739 2882 3144 3652 3984 4323 5478 5764 6288 7304 8646 10873 10956 11528 14608 17292 21746 21912 23056 32619 34584 43492 43824 65238 69168 86984 119603 130476 173968 239206 260952 358809 478412 521904 717618 956824 1435236 1913648 2870472 5740944