Search a number
-
+
23400020 = 2257192463
BaseRepresentation
bin101100101000…
…0111001010100
31122000211210102
41121100321110
521442300040
62153313232
7402616430
oct131207124
948024712
1023400020
1112232866
127a05818
134b03b87
1431719c0
1520c3515
hex1650e54

23400020 has 72 divisors (see below), whose sum is σ = 59399424. Its totient is φ = 7584192.

The previous prime is 23399953. The next prime is 23400023. The reversal of 23400020 is 2000432.

It is a junction number, because it is equal to n+sod(n) for n = 23399974 and 23400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23400023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50309 + ... + 50771.

It is an arithmetic number, because the mean of its divisors is an integer number (824992).

Almost surely, 223400020 is an apocalyptic number.

23400020 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 23400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712).

23400020 is an abundant number, since it is smaller than the sum of its proper divisors (35999404).

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

23400020 is a wasteful number, since it uses less digits than its factorization.

23400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 23400020 is about 4837.3567162243. The cubic root of 23400020 is about 286.0259320871.

Adding to 23400020 its reverse (2000432), we get a palindrome (25400452).

The spelling of 23400020 in words is "twenty-three million, four hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 463 532 665 722 926 1330 1444 1805 1852 2315 2527 2660 3241 3610 4630 5054 6482 7220 8797 9260 10108 12635 12964 16205 17594 25270 32410 35188 43985 50540 61579 64820 87970 123158 167143 175940 246316 307895 334286 615790 668572 835715 1170001 1231580 1671430 2340002 3342860 4680004 5850005 11700010 23400020