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23438700 = 2233528681
BaseRepresentation
bin101100101101…
…0010101101100
31122002210212000
41121122111230
522000014300
62154212300
7403140255
oct131322554
948083760
1023438700
111225992a
127a24090
134b1866c
143181b2c
1520cec00
hex165a56c

23438700 has 72 divisors (see below), whose sum is σ = 75359760. Its totient is φ = 6249600.

The previous prime is 23438693. The next prime is 23438707. The reversal of 23438700 is 783432.

It is an interprime number because it is at equal distance from previous prime (23438693) and next prime (23438707).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23438707) 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 23 ways as a sum of consecutive naturals, for example, 1641 + ... + 7040.

Almost surely, 223438700 is an apocalyptic number.

23438700 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 23438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679880).

23438700 is an abundant number, since it is smaller than the sum of its proper divisors (51921060).

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

23438700 is a wasteful number, since it uses less digits than its factorization.

23438700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23438700 is about 4841.3531166400. The cubic root of 23438700 is about 286.1834446691.

The spelling of 23438700 in words is "twenty-three million, four hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 8681 17362 26043 34724 43405 52086 78129 86810 104172 130215 156258 173620 217025 234387 260430 312516 390645 434050 468774 520860 651075 781290 868100 937548 1171935 1302150 1562580 1953225 2343870 2604300 3906450 4687740 5859675 7812900 11719350 23438700