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40123120 = 245539463
BaseRepresentation
bin1001100100001…
…1101011110000
32210111110120111
42121003223300
540232414440
63551551104
7665020012
oct231035360
983443514
1040123120
1120715104
121152b494
13840a8bb
1454861b2
1537c84ea
hex2643af0

40123120 has 40 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 15744768.

The previous prime is 40123099. The next prime is 40123121. The reversal of 40123120 is 2132104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 40123120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40123121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 8971.

Almost surely, 240123120 is an apocalyptic number.

40123120 is a gapful number since it is divisible by the number (40) 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 40123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208).

40123120 is an abundant number, since it is smaller than the sum of its proper divisors (54933296).

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

40123120 is a wasteful number, since it uses less digits than its factorization.

40123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40123120 is about 6334.2813325586. The cubic root of 40123120 is about 342.3457170038.

Adding to 40123120 its reverse (2132104), we get a palindrome (42255224).

The spelling of 40123120 in words is "forty million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 9463 18926 37852 47315 75704 94630 151408 189260 378520 501539 757040 1003078 2006156 2507695 4012312 5015390 8024624 10030780 20061560 40123120