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117896040 = 23335173631
BaseRepresentation
bin1110000011011…
…11001101101000
322012211201222000
413001233031220
5220140133130
615410531000
72631046143
oct701571550
9265751860
10117896040
1160605049
1233596a60
131b56b392
141192d05a
15a53c260
hex706f368

117896040 has 128 divisors (see below), whose sum is σ = 395884800. Its totient is φ = 31207680.

The previous prime is 117896027. The next prime is 117896041. The reversal of 117896040 is 40698711.

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 = 117895986 and 117896004.

It is not an unprimeable number, because it can be changed into a prime (117896041) 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, 186525 + ... + 187155.

It is an arithmetic number, because the mean of its divisors is an integer number (3092850).

Almost surely, 2117896040 is an apocalyptic number.

117896040 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 117896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197942400).

117896040 is an abundant number, since it is smaller than the sum of its proper divisors (277988760).

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

117896040 is a wasteful number, since it uses less digits than its factorization.

117896040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117896040 is about 10857.9942899230. The cubic root of 117896040 is about 490.3427284318.

The spelling of 117896040 in words is "one hundred seventeen million, eight hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 173 180 216 270 346 360 519 540 631 692 865 1038 1080 1262 1384 1557 1730 1893 2076 2524 2595 3114 3155 3460 3786 4152 4671 5048 5190 5679 6228 6310 6920 7572 7785 9342 9465 10380 11358 12456 12620 15144 15570 17037 18684 18930 20760 22716 23355 25240 28395 31140 34074 37368 37860 45432 46710 56790 62280 68148 75720 85185 93420 109163 113580 136296 170370 186840 218326 227160 327489 340740 436652 545815 654978 681480 873304 982467 1091630 1309956 1637445 1964934 2183260 2619912 2947401 3274890 3929868 4366520 4912335 5894802 6549780 7859736 9824670 11789604 13099560 14737005 19649340 23579208 29474010 39298680 58948020 117896040