Search a number
-
+
23993772 = 22311672713
BaseRepresentation
bin101101110000…
…1110110101100
31200011000021020
41123201312230
522120300042
62214134140
7410641455
oct133416654
950130236
1023993772
11125a8970
128051350
134c811ca
14328812c
15218e3ec
hex16e1dac

23993772 has 48 divisors (see below), whose sum is σ = 62009472. Its totient is φ = 7159680.

The previous prime is 23993771. The next prime is 23993773. The reversal of 23993772 is 27739932.

It is an interprime number because it is at equal distance from previous prime (23993771) and next prime (23993773).

It is not an unprimeable number, because it can be changed into a prime (23993771) 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, 7488 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (1291864).

Almost surely, 223993772 is an apocalyptic number.

23993772 is a gapful number since it is divisible by the number (22) 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 23993772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004736).

23993772 is an abundant number, since it is smaller than the sum of its proper divisors (38015700).

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

23993772 is a wasteful number, since it uses less digits than its factorization.

23993772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2796 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 23993772 is about 4898.3438017354. The cubic root of 23993772 is about 288.4249609853.

The spelling of 23993772 in words is "twenty-three million, nine hundred ninety-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2713 2948 4422 5426 8139 8844 10852 16278 29843 32556 59686 89529 119372 179058 181771 358116 363542 545313 727084 1090626 1999481 2181252 3998962 5998443 7997924 11996886 23993772