Search a number
-
+
23638770 = 2335293019
BaseRepresentation
bin101101000101…
…1001011110010
31122110222022000
41122023023302
522022420040
62202354430
7404632461
oct132131362
948428260
1023638770
1112386181
127abba16
134b8874c
1431d49d8
15211e130
hex168b2f2

23638770 has 64 divisors (see below), whose sum is σ = 65232000. Its totient is φ = 6084288.

The previous prime is 23638753. The next prime is 23638801. The reversal of 23638770 is 7783632.

It is a super-2 number, since 2×236387702 = 1117582894225800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6321 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (1019250).

Almost surely, 223638770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23638770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32616000).

23638770 is an abundant number, since it is smaller than the sum of its proper divisors (41593230).

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

23638770 is a wasteful number, since it uses less digits than its factorization.

23638770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 23638770 is about 4861.9718222137. The cubic root of 23638770 is about 286.9954148685.

The spelling of 23638770 in words is "twenty-three million, six hundred thirty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3019 3915 6038 7830 9057 15095 18114 27171 30190 45285 54342 81513 87551 90570 135855 163026 175102 262653 271710 407565 437755 525306 787959 815130 875510 1313265 1575918 2363877 2626530 3939795 4727754 7879590 11819385 23638770