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5726840 = 2357113181
BaseRepresentation
bin10101110110001001111000
3101202221202012
4111312021320
52431224330
6322425052
766451220
oct25661170
911687665
105726840
113261729
121b02188
131256882
14a91080
15781c95
hex576278

5726840 has 64 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1935360.

The previous prime is 5726837. The next prime is 5726843. The reversal of 5726840 is 486275.

5726840 = T369 + T370 + ... + T438.

It is an interprime number because it is at equal distance from previous prime (5726837) and next prime (5726843).

It is a junction number, because it is equal to n+sod(n) for n = 5726797 and 5726806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726843) 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, 31550 + ... + 31730.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 25726840 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 5726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5726840 is an abundant number, since it is smaller than the sum of its proper divisors (9211720).

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

5726840 is a wasteful number, since it uses less digits than its factorization.

5726840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5726840 is about 2393.0816952206. The cubic root of 5726840 is about 178.9115383250.

The spelling of 5726840 in words is "five million, seven hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 181 226 280 362 452 565 724 791 904 905 1130 1267 1448 1582 1810 2260 2534 3164 3620 3955 4520 5068 6328 6335 7240 7910 10136 12670 15820 20453 25340 31640 40906 50680 81812 102265 143171 163624 204530 286342 409060 572684 715855 818120 1145368 1431710 2863420 5726840