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5646240 = 253351307
BaseRepresentation
bin10101100010011110100000
3101121212012000
4111202132200
52421134430
6321004000
765664225
oct25423640
911555160
105646240
113207116
121a83600
131228c92
14a6d94c
15767e60
hex5627a0

5646240 has 96 divisors (see below), whose sum is σ = 19776960. Its totient is φ = 1504512.

The previous prime is 5646239. The next prime is 5646269. The reversal of 5646240 is 426465.

It is a happy number.

5646240 is a `hidden beast` number, since 564 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56462402 = 63760052275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (206010).

Almost surely, 25646240 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 5646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888480).

5646240 is an abundant number, since it is smaller than the sum of its proper divisors (14130720).

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

5646240 is a wasteful number, since it uses less digits than its factorization.

5646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5646240 is about 2376.1818112257. The cubic root of 5646240 is about 178.0682312171.

It can be divided in two parts, 5646 and 240, that added together give a triangular number (5886 = T108).

The spelling of 5646240 in words is "five million, six hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1307 1440 2160 2614 3921 4320 5228 6535 7842 10456 11763 13070 15684 19605 20912 23526 26140 31368 35289 39210 41824 47052 52280 58815 62736 70578 78420 94104 104560 117630 125472 141156 156840 176445 188208 209120 235260 282312 313680 352890 376416 470520 564624 627360 705780 941040 1129248 1411560 1882080 2823120 5646240