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115117020 = 2232543107139
BaseRepresentation
bin1101101110010…
…00101111011100
322000121112212100
412313020233130
5213432221040
615231205100
72565323064
oct667105734
9260545770
10115117020
1159a87137
1232676790
131ab074a5
14114083a4
15a18db30
hex6dc8bdc

115117020 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 29490048.

The previous prime is 115117019. The next prime is 115117021. The reversal of 115117020 is 20711511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115117019) and next prime (115117021).

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 = 115116984 and 115117002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115117021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828111 + ... + 828249.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2115117020 is an apocalyptic number.

115117020 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 115117020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

115117020 is an abundant number, since it is smaller than the sum of its proper divisors (248125860).

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

115117020 is a wasteful number, since it uses less digits than its factorization.

115117020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 115117020 is about 10729.2599931216. The cubic root of 115117020 is about 486.4593026202.

Adding to 115117020 its reverse (20711511), we get a palindrome (135828531).

The spelling of 115117020 in words is "one hundred fifteen million, one hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 107 129 139 172 180 214 215 258 278 321 387 417 428 430 516 535 556 642 645 695 774 834 860 963 1070 1251 1284 1290 1390 1548 1605 1668 1926 1935 2085 2140 2502 2580 2780 3210 3852 3870 4170 4601 4815 5004 5977 6255 6420 7740 8340 9202 9630 11954 12510 13803 14873 17931 18404 19260 23005 23908 25020 27606 29746 29885 35862 41409 44619 46010 53793 55212 59492 59770 69015 71724 74365 82818 89238 89655 92020 107586 119540 133857 138030 148730 165636 178476 179310 207045 215172 223095 267714 268965 276060 297460 358620 414090 446190 535428 537930 639539 669285 828180 892380 1075860 1279078 1338570 1918617 2558156 2677140 3197695 3837234 5755851 6395390 7674468 9593085 11511702 12790780 19186170 23023404 28779255 38372340 57558510 115117020