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6264240 = 243543607
BaseRepresentation
bin10111111001010110110000
3102210020220220
4113321112300
53100423430
6342133040
7104150043
oct27712660
912706826
106264240
113599464
122121180
1313b4368
14b90c5a
1583b110
hex5f95b0

6264240 has 80 divisors (see below), whose sum is σ = 19903488. Its totient is φ = 1628928.

The previous prime is 6264221. The next prime is 6264241. The reversal of 6264240 is 424626.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6264240.

It is not an unprimeable number, because it can be changed into a prime (6264241) 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, 10017 + ... + 10623.

Almost surely, 26264240 is an apocalyptic number.

6264240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9951744).

6264240 is an abundant number, since it is smaller than the sum of its proper divisors (13639248).

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

6264240 is a wasteful number, since it uses less digits than its factorization.

6264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6264240 is about 2502.8463796246. The cubic root of 6264240 is about 184.3413637769.

Adding to 6264240 its reverse (424626), we get a palindrome (6688866).

The spelling of 6264240 in words is "six million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 607 645 688 860 1032 1214 1290 1720 1821 2064 2428 2580 3035 3440 3642 4856 5160 6070 7284 9105 9712 10320 12140 14568 18210 24280 26101 29136 36420 48560 52202 72840 78303 104404 130505 145680 156606 208808 261010 313212 391515 417616 522020 626424 783030 1044040 1252848 1566060 2088080 3132120 6264240