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5710640 = 2451317219
BaseRepresentation
bin10101110010001100110000
3101202010112012
4111302030300
52430220030
6322222052
766353045
oct25621460
911663465
105710640
113250541
121ab4928
13124c3a0
14a891cc
1577c095
hex572330

5710640 has 120 divisors (see below), whose sum is σ = 15988560. Its totient is φ = 1880064.

The previous prime is 5710631. The next prime is 5710667. The reversal of 5710640 is 460175.

5710640 = T40 + T41 + ... + T324.

It is a super-2 number, since 2×57106402 = 65222818419200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300551 + ... + 300569.

It is an arithmetic number, because the mean of its divisors is an integer number (133238).

Almost surely, 25710640 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 5710640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994280).

5710640 is an abundant number, since it is smaller than the sum of its proper divisors (10277920).

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

5710640 is a wasteful number, since it uses less digits than its factorization.

5710640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 5710640 is about 2389.6945411496. The cubic root of 5710640 is about 178.7426782337.

The spelling of 5710640 in words is "five million, seven hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 19 20 26 34 38 40 52 65 68 76 80 85 95 104 130 136 152 170 190 208 221 247 260 272 289 304 323 340 380 442 494 520 578 646 680 760 884 988 1040 1105 1156 1235 1292 1360 1445 1520 1615 1768 1976 2210 2312 2470 2584 2890 3230 3536 3757 3952 4199 4420 4624 4940 5168 5491 5780 6460 7514 8398 8840 9880 10982 11560 12920 15028 16796 17680 18785 19760 20995 21964 23120 25840 27455 30056 33592 37570 41990 43928 54910 60112 67184 71383 75140 83980 87856 109820 142766 150280 167960 219640 285532 300560 335920 356915 439280 571064 713830 1142128 1427660 2855320 5710640