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23163120 = 2432553607
BaseRepresentation
bin101100001011…
…1000011110000
31121120210211100
41120113003300
521412204440
62144244400
7400611651
oct130270360
947523740
1023163120
1112090882
127910700
134a500b6
14310d528
152078230
hex16170f0

23163120 has 120 divisors (see below), whose sum is σ = 79387776. Its totient is φ = 6050304.

The previous prime is 23163097. The next prime is 23163131. The reversal of 23163120 is 2136132.

23163120 is a `hidden beast` number, since 2 + 31 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23163093 and 23163102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37857 + ... + 38463.

Almost surely, 223163120 is an apocalyptic number.

23163120 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 23163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39693888).

23163120 is an abundant number, since it is smaller than the sum of its proper divisors (56224656).

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

23163120 is a wasteful number, since it uses less digits than its factorization.

23163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23163120 is about 4812.8079122275. The cubic root of 23163120 is about 285.0574214863.

Adding to 23163120 its reverse (2136132), we get a palindrome (25299252).

The spelling of 23163120 in words is "twenty-three million, one hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 607 636 720 795 848 954 1060 1214 1272 1590 1821 1908 2120 2385 2428 2544 3035 3180 3642 3816 4240 4770 4856 5463 6070 6360 7284 7632 9105 9540 9712 10926 12140 12720 14568 18210 19080 21852 24280 27315 29136 32171 36420 38160 43704 48560 54630 64342 72840 87408 96513 109260 128684 145680 160855 193026 218520 257368 289539 321710 386052 437040 482565 514736 579078 643420 772104 965130 1158156 1286840 1447695 1544208 1930260 2316312 2573680 2895390 3860520 4632624 5790780 7721040 11581560 23163120