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23253840 = 2432532297
BaseRepresentation
bin101100010110…
…1001101010000
31121202102021100
41120231031100
521423110330
62150224400
7401440311
oct130551520
947672240
1023253840
1112142a55
127955100
134a8248c
143134608
152095060
hex162d350

23253840 has 60 divisors (see below), whose sum is σ = 78096564. Its totient is φ = 6200832.

The previous prime is 23253833. The next prime is 23253869. The reversal of 23253840 is 4835232.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 6411024 = 4104^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15429 + ... + 16868.

Almost surely, 223253840 is an apocalyptic number.

23253840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23253840 is an abundant number, since it is smaller than the sum of its proper divisors (54842724).

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

23253840 is a wasteful number, since it uses less digits than its factorization.

23253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32316 (or 32307 counting only the distinct ones).

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

The square root of 23253840 is about 4822.2235535072. The cubic root of 23253840 is about 285.4290858846.

The spelling of 23253840 in words is "twenty-three million, two hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32297 64594 96891 129188 161485 193782 258376 290673 322970 387564 484455 516752 581346 645940 775128 968910 1162692 1291880 1453365 1550256 1937820 2325384 2583760 2906730 3875640 4650768 5813460 7751280 11626920 23253840