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23500380 = 2235412233
BaseRepresentation
bin101100110100…
…1011001011100
31122012221110110
41121221121130
522004003010
62155410020
7403515141
oct131513134
948187413
1023500380
11122a1202
127a53910
134b3a767
14319a3c8
1520e3120
hex166965c

23500380 has 72 divisors (see below), whose sum is σ = 67734576. Its totient is φ = 6087680.

The previous prime is 23500369. The next prime is 23500381. The reversal of 23500380 is 8300532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23500381) 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, 100744 + ... + 100976.

It is an arithmetic number, because the mean of its divisors is an integer number (940758).

Almost surely, 223500380 is an apocalyptic number.

23500380 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 23500380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33867288).

23500380 is an abundant number, since it is smaller than the sum of its proper divisors (44234196).

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

23500380 is a wasteful number, since it uses less digits than its factorization.

23500380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 23500380 is about 4847.7190512652. The cubic root of 23500380 is about 286.4342596835.

The spelling of 23500380 in words is "twenty-three million, five hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 233 246 410 466 492 615 699 820 932 1165 1230 1398 1681 2330 2460 2796 3362 3495 4660 5043 6724 6990 8405 9553 10086 13980 16810 19106 20172 25215 28659 33620 38212 47765 50430 57318 95530 100860 114636 143295 191060 286590 391673 573180 783346 1175019 1566692 1958365 2350038 3916730 4700076 5875095 7833460 11750190 23500380