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23076400 = 2452311861
BaseRepresentation
bin101100000000…
…1111000110000
31121102101212111
41120001320300
521401421100
62142335104
7400101064
oct130017060
947371774
1023076400
1112031706
12788a494
134a1c799
1430c9aa4
15205c6ba
hex1601e30

23076400 has 60 divisors (see below), whose sum is σ = 57260224. Its totient is φ = 8928000.

The previous prime is 23076377. The next prime is 23076401. The reversal of 23076400 is 467032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23076401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11470 + ... + 13330.

Almost surely, 223076400 is an apocalyptic number.

23076400 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 23076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630112).

23076400 is an abundant number, since it is smaller than the sum of its proper divisors (34183824).

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

23076400 is a wasteful number, since it uses less digits than its factorization.

23076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23076400 is about 4803.7901702718. The cubic root of 23076400 is about 284.7012361116.

The spelling of 23076400 in words is "twenty-three million, seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 1861 2480 3100 3722 6200 7444 9305 12400 14888 18610 29776 37220 46525 57691 74440 93050 115382 148880 186100 230764 288455 372200 461528 576910 744400 923056 1153820 1442275 2307640 2884550 4615280 5769100 11538200 23076400