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23146460 = 22531371009
BaseRepresentation
bin101100001001…
…0111111011100
31121112221222022
41120102333130
521411141320
62144035312
7400512251
oct130227734
947487868
1023146460
111207a307
127902b38
134a4563c
143107428
152073325
hex1612fdc

23146460 has 48 divisors (see below), whose sum is σ = 51582720. Its totient is φ = 8709120.

The previous prime is 23146451. The next prime is 23146463. The reversal of 23146460 is 6464132.

It is a super-2 number, since 2×231464602 = 1071517221063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23146463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22436 + ... + 23444.

It is an arithmetic number, because the mean of its divisors is an integer number (1074640).

Almost surely, 223146460 is an apocalyptic number.

23146460 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 23146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25791360).

23146460 is an abundant number, since it is smaller than the sum of its proper divisors (28436260).

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

23146460 is a wasteful number, since it uses less digits than its factorization.

23146460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23146460 is about 4811.0768025464. The cubic root of 23146460 is about 284.9890628818.

The spelling of 23146460 in words is "twenty-three million, one hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1009 1147 2018 2294 4036 4588 5045 5735 10090 11470 20180 22940 31279 37333 62558 74666 125116 149332 156395 186665 312790 373330 625580 746660 1157323 2314646 4629292 5786615 11573230 23146460