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23648140 = 22523101509
BaseRepresentation
bin101101000110…
…1011110001100
31122111110011001
41122031132030
522023220030
62202510044
7405002005
oct132153614
948443131
1023648140
111239221a
127b05324
134b8caa9
1431d81ac
152121cca
hex168d78c

23648140 has 48 divisors (see below), whose sum is σ = 52436160. Its totient is φ = 8940800.

The previous prime is 23648087. The next prime is 23648153. The reversal of 23648140 is 4184632.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23648099 and 23648108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46206 + ... + 46714.

It is an arithmetic number, because the mean of its divisors is an integer number (1092420).

Almost surely, 223648140 is an apocalyptic number.

23648140 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 23648140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218080).

23648140 is an abundant number, since it is smaller than the sum of its proper divisors (28788020).

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

23648140 is a wasteful number, since it uses less digits than its factorization.

23648140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23648140 is about 4862.9353275568. The cubic root of 23648140 is about 287.0333298672.

The spelling of 23648140 in words is "twenty-three million, six hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 509 1010 1018 2020 2036 2323 2545 4646 5090 9292 10180 11615 11707 23230 23414 46460 46828 51409 58535 102818 117070 205636 234140 257045 514090 1028180 1182407 2364814 4729628 5912035 11824070 23648140