Search a number
-
+
23014020 = 2235478161
BaseRepresentation
bin101011111001…
…0101010000100
31121022020022010
41113302222010
521342422040
62141134220
7366421161
oct127625204
947266263
1023014020
1111a99857
12785a370
1349ca283
1430b1068
152048e80
hex15f2a84

23014020 has 48 divisors (see below), whose sum is σ = 65818368. Its totient is φ = 6005760.

The previous prime is 23014009. The next prime is 23014049. The reversal of 23014020 is 2041032.

23014020 = T47 + T48 + ... + T516.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23013987 and 23014005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (1371216).

Almost surely, 223014020 is an apocalyptic number.

23014020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23014020 is an abundant number, since it is smaller than the sum of its proper divisors (42804348).

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

23014020 is a wasteful number, since it uses less digits than its factorization.

23014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23014020 is about 4797.2929866749. The cubic root of 23014020 is about 284.4444703279. Note that the first 4 decimals are identical.

Adding to 23014020 its reverse (2041032), we get a palindrome (25055052).

The spelling of 23014020 in words is "twenty-three million, fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 8161 16322 24483 32644 40805 48966 81610 97932 122415 163220 244830 383567 489660 767134 1150701 1534268 1917835 2301402 3835670 4602804 5753505 7671340 11507010 23014020