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23939740 = 225111737173
BaseRepresentation
bin101101101010…
…0101010011100
31200001021011001
41123110222130
522112032430
62213040044
7410325106
oct133245234
950037131
1023939740
1112571310
128026024
134c62736
143272576
15217d3ca
hex16d4a9c

23939740 has 96 divisors (see below), whose sum is σ = 59984064. Its totient is φ = 7925760.

The previous prime is 23939731. The next prime is 23939743. The reversal of 23939740 is 4793932.

23939740 is a nontrivial binomial coefficient, being equal to C(6920, 2).

It is a super-2 number, since 2×239397402 = 1146222302535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 23939740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23939743) 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 31 ways as a sum of consecutive naturals, for example, 138294 + ... + 138466.

It is an arithmetic number, because the mean of its divisors is an integer number (624834).

Almost surely, 223939740 is an apocalyptic number.

23939740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23939740 is the 6919-th triangular number and also the 3460-th hexagonal number.

23939740 is the 2307-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23939740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29992032).

23939740 is an abundant number, since it is smaller than the sum of its proper divisors (36044324).

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

23939740 is a wasteful number, since it uses less digits than its factorization.

23939740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 23939740 is about 4892.8253596465. The cubic root of 23939740 is about 288.2082951738.

The spelling of 23939740 in words is "twenty-three million, nine hundred thirty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 37 44 55 68 74 85 110 148 170 173 185 187 220 340 346 370 374 407 629 692 740 748 814 865 935 1258 1628 1730 1870 1903 2035 2516 2941 3145 3460 3740 3806 4070 5882 6290 6401 6919 7612 8140 9515 11764 12580 12802 13838 14705 19030 25604 27676 29410 32005 32351 34595 38060 58820 64010 64702 69190 70411 108817 128020 129404 138380 140822 161755 217634 281644 323510 352055 435268 544085 647020 704110 1088170 1196987 1408220 2176340 2393974 4787948 5984935 11969870 23939740