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23816980 = 22511731483
BaseRepresentation
bin101101011011…
…0101100010100
31122211000202101
41122312230110
522044120410
62210251444
7406304155
oct132665424
948730671
1023816980
1112498060
127b86b84
134c1b8b5
14323d92c
152156d3a
hex16b6b14

23816980 has 48 divisors (see below), whose sum is σ = 55347264. Its totient is φ = 8536320.

The previous prime is 23816977. The next prime is 23816987. The reversal of 23816980 is 8961832.

23816980 = T249 + T250 + ... + T540.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23816987) 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 15 ways as a sum of consecutive naturals, for example, 15319 + ... + 16801.

It is an arithmetic number, because the mean of its divisors is an integer number (1153068).

Almost surely, 223816980 is an apocalyptic number.

23816980 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 23816980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673632).

23816980 is an abundant number, since it is smaller than the sum of its proper divisors (31530284).

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

23816980 is a wasteful number, since it uses less digits than its factorization.

23816980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 23816980 is about 4880.2643371031. The cubic root of 23816980 is about 287.7148186546.

The spelling of 23816980 in words is "twenty-three million, eight hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1483 1606 2966 3212 4015 5932 7415 8030 14830 16060 16313 29660 32626 65252 81565 108259 163130 216518 326260 433036 541295 1082590 1190849 2165180 2381698 4763396 5954245 11908490 23816980