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115813620 = 2232513431151
BaseRepresentation
bin1101110011100…
…10110011110100
322001220221102100
412321302303310
5214122013440
615254142100
72604254016
oct671626364
9261827370
10115813620
115a41253a
1232951930
131acbc590
141154a1b6
15a27a230
hex6e72cf4

115813620 has 144 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 27820800.

The previous prime is 115813603. The next prime is 115813657. The reversal of 115813620 is 26318511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100045 + ... + 101195.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 2115813620 is an apocalyptic number.

115813620 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 115813620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

115813620 is an abundant number, since it is smaller than the sum of its proper divisors (271645452).

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

115813620 is a wasteful number, since it uses less digits than its factorization.

115813620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 115813620 is about 10761.6736616569. The cubic root of 115813620 is about 487.4385563586.

The spelling of 115813620 in words is "one hundred fifteen million, eight hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1151 1170 1290 1548 1677 1935 2236 2302 2340 2580 2795 3354 3453 3870 4604 5031 5590 5755 6708 6906 7740 8385 10062 10359 11180 11510 13812 14963 16770 17265 20124 20718 23020 25155 29926 33540 34530 41436 44889 49493 50310 51795 59852 69060 74815 89778 98986 100620 103590 134667 148479 149630 179556 197972 207180 224445 247465 269334 296958 299260 445437 448890 494930 538668 593916 643409 673335 742395 890874 897780 989860 1286818 1346670 1484790 1781748 1930227 2227185 2573636 2693340 2969580 3217045 3860454 4454370 5790681 6434090 7720908 8908740 9651135 11581362 12868180 19302270 23162724 28953405 38604540 57906810 115813620