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23134160 = 2457109379
BaseRepresentation
bin101100000111…
…1111111010000
31121112100002202
41120033333100
521410243120
62143502332
7400431350
oct130177720
947470082
1023134160
1112071045
1278b79a8
134a3cb6a
143102b60
15206e875
hex160ffd0

23134160 has 80 divisors (see below), whose sum is σ = 62198400. Its totient is φ = 7838208.

The previous prime is 23134157. The next prime is 23134169. The reversal of 23134160 is 6143132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134169) 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, 60851 + ... + 61229.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 223134160 is an apocalyptic number.

23134160 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 23134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31099200).

23134160 is an abundant number, since it is smaller than the sum of its proper divisors (39064240).

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

23134160 is a wasteful number, since it uses less digits than its factorization.

23134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 23134160 is about 4809.7983325707. The cubic root of 23134160 is about 284.9385729930.

Adding to 23134160 its reverse (6143132), we get a palindrome (29277292).

The spelling of 23134160 in words is "twenty-three million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 379 436 545 560 758 763 872 1090 1516 1526 1744 1895 2180 2653 3032 3052 3790 3815 4360 5306 6064 6104 7580 7630 8720 10612 12208 13265 15160 15260 21224 26530 30320 30520 41311 42448 53060 61040 82622 106120 165244 206555 212240 289177 330488 413110 578354 660976 826220 1156708 1445885 1652440 2313416 2891770 3304880 4626832 5783540 11567080 23134160