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102024120 = 23351177291
BaseRepresentation
bin1100001010011…
…00001110111000
321002222100210010
412011030032320
5202104232440
614042421520
72346122262
oct605141670
9232870703
10102024120
1152654260
122a2018a0
13181a1c03
14d79ab32
158e54580
hex614c3b8

102024120 has 64 divisors (see below), whose sum is σ = 333901440. Its totient is φ = 24732800.

The previous prime is 102024103. The next prime is 102024121. The reversal of 102024120 is 21420201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102024096 and 102024105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102024121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37326 + ... + 39965.

It is an arithmetic number, because the mean of its divisors is an integer number (5217210).

Almost surely, 2102024120 is an apocalyptic number.

102024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024120 is an abundant number, since it is smaller than the sum of its proper divisors (231877320).

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

102024120 is a wasteful number, since it uses less digits than its factorization.

102024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77316 (or 77312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102024120 is about 10100.6989857138. The cubic root of 102024120 is about 467.2696988770.

Adding to 102024120 its reverse (21420201), we get a palindrome (123444321).

The spelling of 102024120 in words is "one hundred two million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 77291 154582 231873 309164 386455 463746 618328 772910 850201 927492 1159365 1545820 1700402 1854984 2318730 2550603 3091640 3400804 4251005 4637460 5101206 6801608 8502010 9274920 10202412 12753015 17004020 20404824 25506030 34008040 51012060 102024120