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115639040 = 2851143191
BaseRepresentation
bin1101110010010…
…00001100000000
322001121001221102
412321020030000
5214100422130
615250313532
72602626026
oct671101400
9261531842
10115639040
115a303360
12328888a8
131ac5ac8a
1411502716
15a243645
hex6e48300

115639040 has 144 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 40857600.

The previous prime is 115639033. The next prime is 115639061. The reversal of 115639040 is 40936511.

It is a junction number, because it is equal to n+sod(n) for n = 115638994 and 115639012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605345 + ... + 605535.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2115639040 is an apocalyptic number.

115639040 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 115639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

115639040 is an abundant number, since it is smaller than the sum of its proper divisors (195179776).

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

115639040 is a wasteful number, since it uses less digits than its factorization.

115639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 115639040 is about 10753.5594107254. The cubic root of 115639040 is about 487.1935079839.

The spelling of 115639040 in words is "one hundred fifteen million, six hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 191 215 220 256 320 344 352 382 430 440 473 640 688 704 764 860 880 946 955 1280 1376 1408 1528 1720 1760 1892 1910 2101 2365 2752 2816 3056 3440 3520 3784 3820 4202 4730 5504 6112 6880 7040 7568 7640 8213 8404 9460 10505 11008 12224 13760 14080 15136 15280 16426 16808 18920 21010 24448 27520 30272 30560 32852 33616 37840 41065 42020 48896 55040 60544 61120 65704 67232 75680 82130 84040 90343 121088 122240 131408 134464 151360 164260 168080 180686 244480 262816 268928 302720 328520 336160 361372 451715 525632 537856 605440 657040 672320 722744 903430 1051264 1314080 1344640 1445488 1806860 2102528 2628160 2689280 2890976 3613720 5256320 5781952 7227440 10512640 11563904 14454880 23127808 28909760 57819520 115639040