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23764380 = 22354361151
BaseRepresentation
bin101101010100…
…1110110011100
31122201100121020
41122221312130
522040430010
62205204140
7405664623
oct132516634
948640536
1023764380
1112461592
127b60650
134c00983
1432286ba
152146470
hex16a9d9c

23764380 has 96 divisors (see below), whose sum is σ = 69662208. Its totient is φ = 6048000.

The previous prime is 23764361. The next prime is 23764409. The reversal of 23764380 is 8346732.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157305 + ... + 157455.

It is an arithmetic number, because the mean of its divisors is an integer number (725648).

Almost surely, 223764380 is an apocalyptic number.

23764380 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 23764380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831104).

23764380 is an abundant number, since it is smaller than the sum of its proper divisors (45897828).

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

23764380 is a wasteful number, since it uses less digits than its factorization.

23764380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 23764380 is about 4874.8723060199. The cubic root of 23764380 is about 287.5028556742.

The spelling of 23764380 in words is "twenty-three million, seven hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 61 86 122 129 151 172 183 215 244 258 302 305 366 430 453 516 604 610 645 732 755 860 906 915 1220 1290 1510 1812 1830 2265 2580 2623 3020 3660 4530 5246 6493 7869 9060 9211 10492 12986 13115 15738 18422 19479 25972 26230 27633 31476 32465 36844 38958 39345 46055 52460 55266 64930 77916 78690 92110 97395 110532 129860 138165 157380 184220 194790 276330 389580 396073 552660 792146 1188219 1584292 1980365 2376438 3960730 4752876 5941095 7921460 11882190 23764380