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23663440 = 245535581
BaseRepresentation
bin101101001000…
…1001101010000
31122112020010201
41122101031100
522024212230
62203104544
7405064423
oct132211520
948466121
1023663440
11123a2769
127b12154
134b96a48
1431dd9ba
1521265ca
hex1691350

23663440 has 40 divisors (see below), whose sum is σ = 56065608. Its totient is φ = 9285120.

The previous prime is 23663429. The next prime is 23663477. The reversal of 23663440 is 4436632.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 21013056 = 1628^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 23663399 and 23663408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450 + ... + 7030.

Almost surely, 223663440 is an apocalyptic number.

23663440 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 23663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032804).

23663440 is an abundant number, since it is smaller than the sum of its proper divisors (32402168).

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

23663440 is a wasteful number, since it uses less digits than its factorization.

23663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 23663440 is about 4864.5081971357. The cubic root of 23663440 is about 287.0952186413.

The spelling of 23663440 in words is "twenty-three million, six hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 5581 11162 22324 27905 44648 55810 89296 111620 223240 295793 446480 591586 1183172 1478965 2366344 2957930 4732688 5915860 11831720 23663440