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136242120 = 23357241673
BaseRepresentation
bin10000001111011…
…10001111001000
3100111100211001110
420013232033020
5234334221440
621304050320
73243016230
oct1007561710
9314324043
10136242120
116a9a57a3
12397639a0
13222c2a51
1414146cc0
15be63080
hex81ee3c8

136242120 has 128 divisors (see below), whose sum is σ = 469751040. Its totient is φ = 30965760.

The previous prime is 136242109. The next prime is 136242157. The reversal of 136242120 is 21242631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202104 + ... + 202776.

It is an arithmetic number, because the mean of its divisors is an integer number (3669930).

Almost surely, 2136242120 is an apocalyptic number.

136242120 is a gapful number since it is divisible by the number (10) 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 136242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234875520).

136242120 is an abundant number, since it is smaller than the sum of its proper divisors (333508920).

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

136242120 is a wasteful number, since it uses less digits than its factorization.

136242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 136242120 is about 11672.2799829339. The cubic root of 136242120 is about 514.5613130424.

Adding to 136242120 its reverse (21242631), we get a palindrome (157484751).

The spelling of 136242120 in words is "one hundred thirty-six million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 241 280 420 482 673 723 840 964 1205 1346 1446 1687 1928 2019 2410 2692 2892 3365 3374 3615 4038 4711 4820 5061 5384 5784 6730 6748 7230 8076 8435 9422 9640 10095 10122 13460 13496 14133 14460 16152 16870 18844 20190 20244 23555 25305 26920 28266 28920 33740 37688 40380 40488 47110 50610 56532 67480 70665 80760 94220 101220 113064 141330 162193 188440 202440 282660 324386 486579 565320 648772 810965 973158 1135351 1297544 1621930 1946316 2270702 2432895 3243860 3406053 3892632 4541404 4865790 5676755 6487720 6812106 9082808 9731580 11353510 13624212 17030265 19463160 22707020 27248424 34060530 45414040 68121060 136242120