Search a number
-
+
23728260 = 22351743541
BaseRepresentation
bin101101010000…
…1000010000100
31122122112001110
41122201002010
522033301020
62204325020
7405454413
oct132410204
948575043
1023728260
1112437436
127b43770
134bba3ba
14321947a
15213a8e0
hex16a1084

23728260 has 96 divisors (see below), whose sum is σ = 72116352. Its totient is φ = 5806080.

The previous prime is 23728247. The next prime is 23728261. The reversal of 23728260 is 6282732.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23728261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43590 + ... + 44130.

It is an arithmetic number, because the mean of its divisors is an integer number (751212).

Almost surely, 223728260 is an apocalyptic number.

23728260 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 23728260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36058176).

23728260 is an abundant number, since it is smaller than the sum of its proper divisors (48388092).

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

23728260 is a wasteful number, since it uses less digits than its factorization.

23728260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23728260 is about 4871.1661848063. The cubic root of 23728260 is about 287.3571211918.

The spelling of 23728260 in words is "twenty-three million, seven hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 541 645 731 860 1020 1082 1290 1462 1623 2164 2193 2580 2705 2924 3246 3655 4386 5410 6492 7310 8115 8772 9197 10820 10965 14620 16230 18394 21930 23263 27591 32460 36788 43860 45985 46526 55182 69789 91970 93052 110364 116315 137955 139578 183940 232630 275910 279156 348945 395471 465260 551820 697890 790942 1186413 1395780 1581884 1977355 2372826 3954710 4745652 5932065 7909420 11864130 23728260