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23408140 = 2257612741
BaseRepresentation
bin101100101001…
…0111000001100
31122001020221011
41121102320030
521443030030
62153415004
7402652210
oct131227014
948036834
1023408140
1112238978
127a0a464
134b07792
143174940
1520c5b2a
hex1652e0c

23408140 has 48 divisors (see below), whose sum is σ = 57121344. Its totient is φ = 7891200.

The previous prime is 23408123. The next prime is 23408141. The reversal of 23408140 is 4180432.

It is not an unprimeable number, because it can be changed into a prime (23408141) 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 15 ways as a sum of consecutive naturals, for example, 7170 + ... + 9910.

It is an arithmetic number, because the mean of its divisors is an integer number (1190028).

Almost surely, 223408140 is an apocalyptic number.

23408140 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 23408140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560672).

23408140 is an abundant number, since it is smaller than the sum of its proper divisors (33713204).

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

23408140 is a wasteful number, since it uses less digits than its factorization.

23408140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 23408140 is about 4838.1959447711. The cubic root of 23408140 is about 286.0590127138.

Adding to 23408140 its reverse (4180432), we get a palindrome (27588572).

The spelling of 23408140 in words is "twenty-three million, four hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 2741 4270 5482 8540 10964 13705 19187 27410 38374 54820 76748 95935 167201 191870 334402 383740 668804 836005 1170407 1672010 2340814 3344020 4681628 5852035 11704070 23408140