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115730640 = 24335131409
BaseRepresentation
bin1101110010111…
…10100011010000
322001202201121000
412321132203100
5214111340030
615252302000
72603460054
oct671364320
9261681530
10115730640
115a366163
1232911900
131ac9088c
1411527c64
15a260860
hex6e5e8d0

115730640 has 160 divisors (see below), whose sum is σ = 402652800. Its totient is φ = 30551040.

The previous prime is 115730633. The next prime is 115730651. The reversal of 115730640 is 46037511.

115730640 is a `hidden beast` number, since 1 + 15 + 7 + 3 + 0 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282756 + ... + 283164.

It is an arithmetic number, because the mean of its divisors is an integer number (2516580).

Almost surely, 2115730640 is an apocalyptic number.

115730640 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 115730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326400).

115730640 is an abundant number, since it is smaller than the sum of its proper divisors (286922160).

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

115730640 is a wasteful number, since it uses less digits than its factorization.

115730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 115730640 is about 10757.8176225478. The cubic root of 115730640 is about 487.3221126121.

The spelling of 115730640 in words is "one hundred fifteen million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 131 135 144 180 216 240 262 270 360 393 409 432 524 540 655 720 786 818 1048 1080 1179 1227 1310 1572 1636 1965 2045 2096 2160 2358 2454 2620 3144 3272 3537 3681 3930 4090 4716 4908 5240 5895 6135 6288 6544 7074 7362 7860 8180 9432 9816 10480 11043 11790 12270 14148 14724 15720 16360 17685 18405 18864 19632 22086 23580 24540 28296 29448 31440 32720 35370 36810 44172 47160 49080 53579 55215 56592 58896 70740 73620 88344 94320 98160 107158 110430 141480 147240 160737 176688 214316 220860 267895 282960 294480 321474 428632 441720 482211 535790 642948 803685 857264 883440 964422 1071580 1285896 1446633 1607370 1928844 2143160 2411055 2571792 2893266 3214740 3857688 4286320 4822110 5786532 6429480 7233165 7715376 9644220 11573064 12858960 14466330 19288440 23146128 28932660 38576880 57865320 115730640