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23106120 = 23351671153
BaseRepresentation
bin101100000100…
…1001001001000
31121110220122020
41120021021020
521403343440
62143124440
7400253532
oct130111110
947426566
1023106120
1112051a74
1278a3720
134a3017b
1430d6852
1520663d0
hex1609248

23106120 has 64 divisors (see below), whose sum is σ = 69793920. Its totient is φ = 6119424.

The previous prime is 23106119. The next prime is 23106133. The reversal of 23106120 is 2160132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23106120.

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, 19464 + ... + 20616.

It is an arithmetic number, because the mean of its divisors is an integer number (1090530).

Almost surely, 223106120 is an apocalyptic number.

23106120 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 23106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34896960).

23106120 is an abundant number, since it is smaller than the sum of its proper divisors (46687800).

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

23106120 is a wasteful number, since it uses less digits than its factorization.

23106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 23106120 is about 4806.8825656552. The cubic root of 23106120 is about 284.8234055271.

Adding to 23106120 its reverse (2160132), we get a palindrome (25266252).

The spelling of 23106120 in words is "twenty-three million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1153 1336 1670 2004 2306 2505 3340 3459 4008 4612 5010 5765 6680 6918 9224 10020 11530 13836 17295 20040 23060 27672 34590 46120 69180 138360 192551 385102 577653 770204 962755 1155306 1540408 1925510 2310612 2888265 3851020 4621224 5776530 7702040 11553060 23106120