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23124120 = 23351311471
BaseRepresentation
bin101100000110…
…1100010011000
31121111211022220
41120031202120
521404432440
62143344040
7400360155
oct130154230
947454286
1023124120
1112064548
1278b2020
134a38416
1430dd22c
15206b8d0
hex160d898

23124120 has 64 divisors (see below), whose sum is σ = 69949440. Its totient is φ = 6115200.

The previous prime is 23124119. The next prime is 23124133. The reversal of 23124120 is 2142132.

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 23124120.

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, 14985 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (1092960).

Almost surely, 223124120 is an apocalyptic number.

23124120 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 23124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34974720).

23124120 is an abundant number, since it is smaller than the sum of its proper divisors (46825320).

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

23124120 is a wasteful number, since it uses less digits than its factorization.

23124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23124120 is about 4808.7545165042. The cubic root of 23124120 is about 284.8973468406.

Adding to 23124120 its reverse (2142132), we get a palindrome (25266252).

The spelling of 23124120 in words is "twenty-three million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1471 1572 1965 2620 2942 3144 3930 4413 5240 5884 7355 7860 8826 11768 14710 15720 17652 22065 29420 35304 44130 58840 88260 176520 192701 385402 578103 770804 963505 1156206 1541608 1927010 2312412 2890515 3854020 4624824 5781030 7708040 11562060 23124120