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23000480 = 255294957
BaseRepresentation
bin101011110111…
…1010110100000
31121021112201122
41113233112200
521342003410
62140551412
7366333536
oct127572640
947245648
1023000480
1111a8a668
127852568
1349c4069
1430aa156
152044e55
hex15ef5a0

23000480 has 48 divisors (see below), whose sum is σ = 56223720. Its totient is φ = 8881152.

The previous prime is 23000479. The next prime is 23000491. The reversal of 23000480 is 8400032.

It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 1507984 = 4636^2 + 1228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162 + ... + 7118.

Almost surely, 223000480 is an apocalyptic number.

23000480 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 23000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111860).

23000480 is an abundant number, since it is smaller than the sum of its proper divisors (33223240).

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

23000480 is a wasteful number, since it uses less digits than its factorization.

23000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 23000480 is about 4795.8815665110. The cubic root of 23000480 is about 284.3886763136.

The spelling of 23000480 in words is "twenty-three million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 4957 9914 19828 24785 39656 49570 79312 99140 143753 158624 198280 287506 396560 575012 718765 793120 1150024 1437530 2300048 2875060 4600096 5750120 11500240 23000480