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23190720 = 2635721729
BaseRepresentation
bin101100001110…
…1110011000000
31121122012200120
41120131303000
521414100340
62145020240
7401055300
oct130356300
947565616
1023190720
11120aa593
127924680
134a5c827
143119600
1520814d0
hex161dcc0

23190720 has 336 divisors, whose sum is σ = 93817440. Its totient is φ = 4816896.

The previous prime is 23190719. The next prime is 23190743. The reversal of 23190720 is 2709132.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 799666 + ... + 799694.

Almost surely, 223190720 is an apocalyptic number.

23190720 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 23190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908720).

23190720 is an abundant number, since it is smaller than the sum of its proper divisors (70626720).

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

23190720 is a wasteful number, since it uses less digits than its factorization.

23190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 23190720 is about 4815.6744075986. The cubic root of 23190720 is about 285.1705965397.

Adding to 23190720 its reverse (2709132), we get a palindrome (25899852).

It can be divided in two parts, 231 and 90720, that added together give a triangular number (90951 = T426).

The spelling of 23190720 in words is "twenty-three million, one hundred ninety thousand, seven hundred twenty".