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115029720 = 23345132731
BaseRepresentation
bin1101101101100…
…11011011011000
322000110010010000
412312303123120
5213421422340
615225253000
72564510421
oct666633330
9260403100
10115029720
1159a27593
1232634160
131aaa6830
14113c4648
15a172d30
hex6db36d8

115029720 has 160 divisors (see below), whose sum is σ = 416520720. Its totient is φ = 28304640.

The previous prime is 115029697. The next prime is 115029731. The reversal of 115029720 is 27920511.

It is a super-3 number, since 3×1150297203 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40755 + ... + 43485.

Almost surely, 2115029720 is an apocalyptic number.

115029720 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 115029720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208260360).

115029720 is an abundant number, since it is smaller than the sum of its proper divisors (301491000).

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

115029720 is a wasteful number, since it uses less digits than its factorization.

115029720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 115029720 is about 10725.1909073918. The cubic root of 115029720 is about 486.3363012982.

The spelling of 115029720 in words is "one hundred fifteen million, twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2731 2808 3240 3510 4212 4680 5265 5462 7020 8193 8424 10530 10924 13655 14040 16386 21060 21848 24579 27310 32772 35503 40965 42120 49158 54620 65544 71006 73737 81930 98316 106509 109240 122895 142012 147474 163860 177515 196632 213018 221211 245790 284024 294948 319527 327720 355030 368685 426036 442422 491580 532545 589896 639054 710060 737370 852072 884844 958581 983160 1065090 1106055 1278108 1420120 1474740 1597635 1769688 1917162 2130180 2212110 2556216 2875743 2949480 3195270 3834324 4260360 4424220 4792905 5751486 6390540 7668648 8848440 9585810 11502972 12781080 14378715 19171620 23005944 28757430 38343240 57514860 115029720