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6324240 = 2435132027
BaseRepresentation
bin11000001000000000010000
3102220022020010
4120020000100
53104333430
6343314520
7104520006
oct30100020
912808203
106324240
11362a54a
12214ba40
131405770
14ba8a76
1584dcb0
hex608010

6324240 has 80 divisors (see below), whose sum is σ = 21123648. Its totient is φ = 1555968.

The previous prime is 6324239. The next prime is 6324247. The reversal of 6324240 is 424236.

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

It is not an unprimeable number, because it can be changed into a prime (6324247) 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, 2107 + ... + 4133.

Almost surely, 26324240 is an apocalyptic number.

6324240 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 6324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

6324240 is an abundant number, since it is smaller than the sum of its proper divisors (14799408).

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

6324240 is a wasteful number, since it uses less digits than its factorization.

6324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6324240 is about 2514.8041673260. The cubic root of 6324240 is about 184.9280460378.

Adding to 6324240 its reverse (424236), we get a palindrome (6748476).

The spelling of 6324240 in words is "six million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2027 3120 4054 6081 8108 10135 12162 16216 20270 24324 26351 30405 32432 40540 48648 52702 60810 79053 81080 97296 105404 121620 131755 158106 162160 210808 243240 263510 316212 395265 421616 486480 527020 632424 790530 1054040 1264848 1581060 2108080 3162120 6324240