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264423120 = 24351384751
BaseRepresentation
bin11111100001011…
…00011011010000
3200102120002022220
433300230123100
51020143014440
642123301040
76360362613
oct1760543320
9612502286
10264423120
11126295005
127467a780
1342a225b0
142719217a
15183328d0
hexfc2c6d0

264423120 has 80 divisors (see below), whose sum is σ = 882776832. Its totient is φ = 65088000.

The previous prime is 264423119. The next prime is 264423167. The reversal of 264423120 is 21324462.

264423120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

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, 39256 + ... + 45495.

Almost surely, 2264423120 is an apocalyptic number.

264423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264423120 is an abundant number, since it is smaller than the sum of its proper divisors (618353712).

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

264423120 is a wasteful number, since it uses less digits than its factorization.

264423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84780 (or 84774 counting only the distinct ones).

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

The square root of 264423120 is about 16261.0922142395. The cubic root of 264423120 is about 641.8494032496.

Adding to 264423120 its reverse (21324462), we get a palindrome (285747582).

The spelling of 264423120 in words is "two hundred sixty-four million, four hundred twenty-three thousand, one hundred twenty".

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 3120 84751 169502 254253 339004 423755 508506 678008 847510 1017012 1101763 1271265 1356016 1695020 2034024 2203526 2542530 3305289 3390040 4068048 4407052 5085060 5508815 6610578 6780080 8814104 10170120 11017630 13221156 16526445 17628208 20340240 22035260 26442312 33052890 44070520 52884624 66105780 88141040 132211560 264423120