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115790640 = 24357157439
BaseRepresentation
bin1101110011011…
…01001100110000
322001212202220020
412321231030300
5214120300030
615253443440
72604130020
oct671551460
9261782806
10115790640
115a3a7249
1232940580
131acb1c94
1411541a80
15a273510
hex6e6d330

115790640 has 160 divisors (see below), whose sum is σ = 413783040. Its totient is φ = 26237952.

The previous prime is 115790639. The next prime is 115790641. The reversal of 115790640 is 46097511.

It is an interprime number because it is at equal distance from previous prime (115790639) and next prime (115790641).

It is not an unprimeable number, because it can be changed into a prime (115790641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263541 + ... + 263979.

It is an arithmetic number, because the mean of its divisors is an integer number (2586144).

Almost surely, 2115790640 is an apocalyptic number.

115790640 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 115790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206891520).

115790640 is an abundant number, since it is smaller than the sum of its proper divisors (297992400).

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

115790640 is a wasteful number, since it uses less digits than its factorization.

115790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 115790640 is about 10760.6059308944. The cubic root of 115790640 is about 487.4063146730.

The spelling of 115790640 in words is "one hundred fifteen million, seven hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 157 168 210 240 280 314 336 420 439 471 560 628 785 840 878 942 1099 1256 1317 1570 1680 1756 1884 2195 2198 2355 2512 2634 3073 3140 3297 3512 3768 4390 4396 4710 5268 5495 6146 6280 6585 6594 7024 7536 8780 8792 9219 9420 10536 10990 12292 12560 13170 13188 15365 16485 17560 17584 18438 18840 21072 21980 24584 26340 26376 30730 32970 35120 36876 37680 43960 46095 49168 52680 52752 61460 65940 68923 73752 87920 92190 105360 122920 131880 137846 147504 184380 206769 245840 263760 275692 344615 368760 413538 482461 551384 689230 737520 827076 964922 1033845 1102768 1378460 1447383 1654152 1929844 2067690 2412305 2756920 2894766 3308304 3859688 4135380 4824610 5513840 5789532 7236915 7719376 8270760 9649220 11579064 14473830 16541520 19298440 23158128 28947660 38596880 57895320 115790640