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23407468 = 22719231913
BaseRepresentation
bin101100101001…
…0101101101100
31122001020000021
41121102231230
521443014333
62153411524
7402650230
oct131225554
948036007
1023407468
1112238417
127a09ba4
134b07396
1431745c0
1520c582d
hex1652b6c

23407468 has 48 divisors (see below), whose sum is σ = 51448320. Its totient is φ = 9085824.

The previous prime is 23407451. The next prime is 23407481. The reversal of 23407468 is 86470432.

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, 11280 + ... + 13192.

It is an arithmetic number, because the mean of its divisors is an integer number (1071840).

Almost surely, 223407468 is an apocalyptic number.

23407468 is a gapful number since it is divisible by the number (28) 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 23407468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724160).

23407468 is an abundant number, since it is smaller than the sum of its proper divisors (28040852).

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

23407468 is a wasteful number, since it uses less digits than its factorization.

23407468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 23407468 is about 4838.1264968994. The cubic root of 23407468 is about 286.0562752971.

The spelling of 23407468 in words is "twenty-three million, four hundred seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 1913 3059 3826 6118 7652 12236 13391 26782 36347 43999 53564 72694 87998 145388 175996 254429 307993 508858 615986 835981 1017716 1231972 1671962 3343924 5851867 11703734 23407468