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23082640 = 245747877
BaseRepresentation
bin101100000001…
…1011010010000
31121102201102121
41120003122100
521402121030
62142424024
7400125220
oct130033220
947381377
1023082640
1112036369
127892014
134a22589
1430cc080
15205e47a
hex1603690

23082640 has 80 divisors (see below), whose sum is σ = 62710272. Its totient is φ = 7736832.

The previous prime is 23082599. The next prime is 23082643. The reversal of 23082640 is 4628032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23082643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25882 + ... + 26758.

Almost surely, 223082640 is an apocalyptic number.

23082640 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 23082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31355136).

23082640 is an abundant number, since it is smaller than the sum of its proper divisors (39627632).

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

23082640 is a wasteful number, since it uses less digits than its factorization.

23082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23082640 is about 4804.4396135241. The cubic root of 23082640 is about 284.7268954520.

Subtracting from 23082640 its sum of digits (25), we obtain a triangular number (23082615 = T6794).

The spelling of 23082640 in words is "twenty-three million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 877 940 1316 1645 1754 1880 2632 3290 3508 3760 4385 5264 6139 6580 7016 8770 12278 13160 14032 17540 24556 26320 30695 35080 41219 49112 61390 70160 82438 98224 122780 164876 206095 245560 288533 329752 412190 491120 577066 659504 824380 1154132 1442665 1648760 2308264 2885330 3297520 4616528 5770660 11541320 23082640