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115133040 = 243251114537
BaseRepresentation
bin1101101110011…
…00101001110000
322000122100211200
412313030221300
5213433224130
615231411200
72565420561
oct667145160
9260570750
10115133040
1159a98180
1232683b00
131ab11879
1411410168
15a193760
hex6dcca70

115133040 has 120 divisors (see below), whose sum is σ = 421834608. Its totient is φ = 27909120.

The previous prime is 115133023. The next prime is 115133063. The reversal of 115133040 is 40331511.

115133040 = T20 + T21 + ... + T883.

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

It is a super-3 number, since 3×1151330403 (a number of 25 digits) contains 333 as substring.

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

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, 652 + ... + 15188.

Almost surely, 2115133040 is an apocalyptic number.

115133040 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 115133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210917304).

115133040 is an abundant number, since it is smaller than the sum of its proper divisors (306701568).

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

115133040 is a wasteful number, since it uses less digits than its factorization.

115133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14567 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 115133040 is about 10730.0065237632. The cubic root of 115133040 is about 486.4818672434.

Adding to 115133040 its reverse (40331511), we get a palindrome (155464551).

It can be divided in two parts, 1151 and 33040, that added together give a triangular number (34191 = T261).

The spelling of 115133040 in words is "one hundred fifteen million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 14537 29074 43611 58148 72685 87222 116296 130833 145370 159907 174444 218055 232592 261666 290740 319814 348888 436110 479721 523332 581480 639628 654165 697776 799535 872220 959442 1046664 1162960 1279256 1308330 1439163 1599070 1744440 1918884 2093328 2398605 2558512 2616660 2878326 3198140 3488880 3837768 4797210 5233320 5756652 6396280 7195815 7675536 9594420 10466640 11513304 12792560 14391630 19188840 23026608 28783260 38377680 57566520 115133040