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23442120 = 23325135009
BaseRepresentation
bin101100101101…
…1001011001000
31122002222112200
41121123023020
522000121440
62154240200
7403153242
oct131331310
948088480
1023442120
1112261459
127a26060
134b1a0a0
143183092
1520d0c30
hex165b2c8

23442120 has 96 divisors (see below), whose sum is σ = 82063800. Its totient is φ = 5769216.

The previous prime is 23442113. The next prime is 23442137. The reversal of 23442120 is 2124432.

It can be written as a sum of positive squares in 4 ways, for example, as 14333796 + 9108324 = 3786^2 + 3018^2 .

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 23442093 and 23442102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176 + ... + 7184.

Almost surely, 223442120 is an apocalyptic number.

23442120 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 23442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41031900).

23442120 is an abundant number, since it is smaller than the sum of its proper divisors (58621680).

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

23442120 is a wasteful number, since it uses less digits than its factorization.

23442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23442120 is about 4841.7063107958. The cubic root of 23442120 is about 286.1973632422.

Adding to 23442120 its reverse (2124432), we get a palindrome (25566552).

The spelling of 23442120 in words is "twenty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 5009 10018 15027 20036 25045 30054 40072 45081 50090 60108 65117 75135 90162 100180 120216 130234 150270 180324 195351 200360 225405 260468 300540 325585 360648 390702 450810 520936 586053 601080 651170 781404 901620 976755 1172106 1302340 1562808 1803240 1953510 2344212 2604680 2930265 3907020 4688424 5860530 7814040 11721060 23442120