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23920032 = 2531012467
BaseRepresentation
bin101101100111…
…1110110100000
31200000021010010
41123033312200
522110420112
62212404520
7410213463
oct133176640
950007103
1023920032
1112558524
128016740
134c56786
1432692da
15217763c
hex16cfda0

23920032 has 48 divisors (see below), whose sum is σ = 63437472. Its totient is φ = 7891200.

The previous prime is 23920007. The next prime is 23920067. The reversal of 23920032 is 23002932.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 23919990 and 23920008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8463 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (1321614).

Almost surely, 223920032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31718736).

23920032 is an abundant number, since it is smaller than the sum of its proper divisors (39517440).

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

23920032 is a wasteful number, since it uses less digits than its factorization.

23920032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23920032 is about 4890.8109756972. The cubic root of 23920032 is about 288.1291858706.

Adding to 23920032 its reverse (23002932), we get a palindrome (46922964).

The spelling of 23920032 in words is "twenty-three million, nine hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 2467 3232 4848 4934 7401 9696 9868 14802 19736 29604 39472 59208 78944 118416 236832 249167 498334 747501 996668 1495002 1993336 2990004 3986672 5980008 7973344 11960016 23920032