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115970940 = 22345174211
BaseRepresentation
bin1101110100110…
…01001101111100
322002012221020000
412322121031330
5214142032230
615301354300
72605510461
oct672311574
9262187200
10115970940
115a50a758
1232a08990
131b046077
141158b668
15a2abb60
hex6e9937c

115970940 has 120 divisors (see below), whose sum is σ = 385296912. Its totient is φ = 29099520.

The previous prime is 115970917. The next prime is 115970941. The reversal of 115970940 is 49079511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115970895 and 115970904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115970941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25435 + ... + 29645.

Almost surely, 2115970940 is an apocalyptic number.

115970940 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 115970940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192648456).

115970940 is an abundant number, since it is smaller than the sum of its proper divisors (269325972).

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

115970940 is a wasteful number, since it uses less digits than its factorization.

115970940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 115970940 is about 10768.9804531348. The cubic root of 115970940 is about 487.6591669618.

The spelling of 115970940 in words is "one hundred fifteen million, nine hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4211 4590 5508 6885 8422 9180 12633 13770 16844 21055 25266 27540 37899 42110 50532 63165 71587 75798 84220 113697 126330 143174 151596 189495 214761 227394 252660 286348 341091 357935 378990 429522 454788 568485 644283 682182 715870 757980 859044 1073805 1136970 1288566 1364364 1431740 1705455 1932849 2147610 2273940 2577132 3221415 3410910 3865698 4295220 5798547 6442830 6821820 7731396 9664245 11597094 12885660 19328490 23194188 28992735 38656980 57985470 115970940