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23971020 = 22351771331
BaseRepresentation
bin101101101110…
…0010011001100
31200002212001120
41123130103030
522114033040
62213440540
7410515233
oct133342314
950085046
1023971020
1112592867
128040150
134c73a48
14327db1a
1521877d0
hex16dc4cc

23971020 has 96 divisors (see below), whose sum is σ = 72285696. Its totient is φ = 5913600.

The previous prime is 23971009. The next prime is 23971043. The reversal of 23971020 is 2017932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72255 + ... + 72585.

It is an arithmetic number, because the mean of its divisors is an integer number (752976).

Almost surely, 223971020 is an apocalyptic number.

23971020 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 23971020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142848).

23971020 is an abundant number, since it is smaller than the sum of its proper divisors (48314676).

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

23971020 is a wasteful number, since it uses less digits than its factorization.

23971020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

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

The square root of 23971020 is about 4896.0208332890. The cubic root of 23971020 is about 288.3337662090. Note that the first 3 decimals are identical.

Adding to 23971020 its reverse (2017932), we get a palindrome (25988952).

The spelling of 23971020 in words is "twenty-three million, nine hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 331 340 355 426 510 662 710 852 993 1020 1065 1207 1324 1420 1655 1986 2130 2414 3310 3621 3972 4260 4828 4965 5627 6035 6620 7242 9930 11254 12070 14484 16881 18105 19860 22508 23501 24140 28135 33762 36210 47002 56270 67524 70503 72420 84405 94004 112540 117505 141006 168810 235010 282012 337620 352515 399517 470020 705030 799034 1198551 1410060 1598068 1997585 2397102 3995170 4794204 5992755 7990340 11985510 23971020