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23685480 = 23335713241
BaseRepresentation
bin101101001011…
…0100101101000
31122120100101000
41122112211220
522030413410
62203355000
7405215610
oct132264550
948510330
1023685480
1112408285
127b22a60
134ba3aa0
143207a40
15212cdc0
hex1696968

23685480 has 256 divisors, whose sum is σ = 97574400. Its totient is φ = 4976640.

The previous prime is 23685451. The next prime is 23685503. The reversal of 23685480 is 8458632.

It is a super-2 number, since 2×236854802 = 1122003925660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98160 + ... + 98400.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 223685480 is an apocalyptic number.

23685480 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 23685480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

23685480 is an abundant number, since it is smaller than the sum of its proper divisors (73888920).

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

23685480 is a wasteful number, since it uses less digits than its factorization.

23685480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 23685480 is about 4866.7730581978. The cubic root of 23685480 is about 287.1843239608.

The spelling of 23685480 in words is "twenty-three million, six hundred eighty-five thousand, four hundred eighty".