Search a number
-
+
23671440 = 2434513281
BaseRepresentation
bin101101001001…
…1001010010000
31122112122010000
41122103022100
522024441230
62203210000
7405126642
oct132231220
948478100
1023671440
11123a8781
127b16900
134b9a590
143202892
152128b60
hex1693290

23671440 has 200 divisors, whose sum is σ = 88853688. Its totient is φ = 5806080.

The previous prime is 23671433. The next prime is 23671441. The reversal of 23671440 is 4417632.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 22581504 = 1044^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23671441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84100 + ... + 84380.

Almost surely, 223671440 is an apocalyptic number.

23671440 is a gapful number since it is divisible by the number (20) 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 23671440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44426844).

23671440 is an abundant number, since it is smaller than the sum of its proper divisors (65182248).

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

23671440 is a wasteful number, since it uses less digits than its factorization.

23671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23671440 is about 4865.3304101572. The cubic root of 23671440 is about 287.1275681641.

The spelling of 23671440 in words is "twenty-three million, six hundred seventy-one thousand, four hundred forty".