Search a number
-
+
23847440 = 245298093
BaseRepresentation
bin101101011111…
…0001000010000
31122212120112112
41122332020100
522101104230
62211044452
7406462031
oct132761020
948776475
1023847440
1112508a31
127ba0728
134c2c716
14324aa88
152160d95
hex16be210

23847440 has 20 divisors (see below), whose sum is σ = 55445484. Its totient is φ = 9538944.

The previous prime is 23847437. The next prime is 23847443. The reversal of 23847440 is 4474832.

It is an interprime number because it is at equal distance from previous prime (23847437) and next prime (23847443).

It can be written as a sum of positive squares in 2 ways, for example, as 15460624 + 8386816 = 3932^2 + 2896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 23847397 and 23847406.

It is not an unprimeable number, because it can be changed into a prime (23847443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 148967 + ... + 149126.

Almost surely, 223847440 is an apocalyptic number.

23847440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23847440 is an abundant number, since it is smaller than the sum of its proper divisors (31598044).

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

23847440 is a wasteful number, since it uses less digits than its factorization.

23847440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298106 (or 298100 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 23847440 is about 4883.3840725464. The cubic root of 23847440 is about 287.8374210999.

The spelling of 23847440 in words is "twenty-three million, eight hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 298093 596186 1192372 1490465 2384744 2980930 4769488 5961860 11923720 23847440