Search a number
-
+
23880640 = 265721523
BaseRepresentation
bin101101100011…
…0001111000000
31122221021002011
41123012033000
522103140030
62211502304
7406660600
oct133061700
948837064
1023880640
1112530973
127bb7994
134c41874
143258c00
15216ab2a
hex16c63c0

23880640 has 84 divisors (see below), whose sum is σ = 66193416. Its totient is φ = 8182272.

The previous prime is 23880613. The next prime is 23880667. The reversal of 23880640 is 4608832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23880613) and next prime (23880667).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14919 + ... + 16441.

Almost surely, 223880640 is an apocalyptic number.

23880640 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 23880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096708).

23880640 is an abundant number, since it is smaller than the sum of its proper divisors (42312776).

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

23880640 is a wasteful number, since it uses less digits than its factorization.

23880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 23880640 is about 4886.7821723502. The cubic root of 23880640 is about 287.9709332805.

The spelling of 23880640 in words is "twenty-three million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1523 1568 1960 2240 3046 3136 3920 6092 7615 7840 10661 12184 15230 15680 21322 24368 30460 42644 48736 53305 60920 74627 85288 97472 106610 121840 149254 170576 213220 243680 298508 341152 373135 426440 487360 597016 682304 746270 852880 1194032 1492540 1705760 2388064 2985080 3411520 4776128 5970160 11940320 23880640