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23485440 = 2103511139
BaseRepresentation
bin101100110010…
…1110000000000
31122012011222010
41121211300000
522003013230
62155212520
7403423446
oct131456000
948164863
1023485440
1112290a60
127a47140
134b33a14
143194b96
1520dd9b0
hex1665c00

23485440 has 176 divisors, whose sum is σ = 82535040. Its totient is φ = 5652480.

The previous prime is 23485433. The next prime is 23485471. The reversal of 23485440 is 4458432.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23485398 and 23485407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168891 + ... + 169029.

Almost surely, 223485440 is an apocalyptic number.

23485440 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 23485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267520).

23485440 is an abundant number, since it is smaller than the sum of its proper divisors (59049600).

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

23485440 is a wasteful number, since it uses less digits than its factorization.

23485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 23485440 is about 4846.1778753983. The cubic root of 23485440 is about 286.3735481120.

The spelling of 23485440 in words is "twenty-three million, four hundred eighty-five thousand, four hundred forty".