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23488480 = 255732011
BaseRepresentation
bin101100110011…
…0011111100000
31122012100010201
41121212133200
522003112410
62155234544
7403435351
oct131463740
948170121
1023488480
1112293274
127a48a54
134b35212
143195d28
1520de83a
hex16667e0

23488480 has 48 divisors (see below), whose sum is σ = 56279664. Its totient is φ = 9262080.

The previous prime is 23488471. The next prime is 23488481. The reversal of 23488480 is 8488432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23488481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10675 + ... + 12685.

It is an arithmetic number, because the mean of its divisors is an integer number (1172493).

Almost surely, 223488480 is an apocalyptic number.

23488480 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 23488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139832).

23488480 is an abundant number, since it is smaller than the sum of its proper divisors (32791184).

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

23488480 is a wasteful number, since it uses less digits than its factorization.

23488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 23488480 is about 4846.4915144876. The cubic root of 23488480 is about 286.3859038244.

The spelling of 23488480 in words is "twenty-three million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2011 2336 2920 4022 5840 8044 10055 11680 16088 20110 32176 40220 64352 80440 146803 160880 293606 321760 587212 734015 1174424 1468030 2348848 2936060 4697696 5872120 11744240 23488480