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23152020 = 2235834649
BaseRepresentation
bin101100001010…
…0010110010100
31121120020121020
41120110112110
521411331040
62144121140
7400534413
oct130242624
947506536
1023152020
1112083501
1279061b0
134a48028
14310947a
152074cd0
hex1614594

23152020 has 48 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 6098176.

The previous prime is 23151991. The next prime is 23152033. The reversal of 23152020 is 2025132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 223152020 is an apocalyptic number.

23152020 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 23152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

23152020 is an abundant number, since it is smaller than the sum of its proper divisors (42468780).

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

23152020 is a wasteful number, since it uses less digits than its factorization.

23152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 23152020 is about 4811.6546010702. The cubic root of 23152020 is about 285.0118800834.

Adding to 23152020 its reverse (2025132), we get a palindrome (25177152).

It can be divided in two parts, 231520 and 20, that added together give a triangular number (231540 = T680).

The spelling of 23152020 in words is "twenty-three million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4649 4980 9298 13947 18596 23245 27894 46490 55788 69735 92980 139470 278940 385867 771734 1157601 1543468 1929335 2315202 3858670 4630404 5788005 7717340 11576010 23152020