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117015840 = 253459029
BaseRepresentation
bin1101111100110…
…00010100100000
322011012000120000
412332120110200
5214424001330
615340020000
72620422024
oct676302440
9264160500
10117015840
1160063807
1233231600
131b320856
1411780384
15a416560
hex6f98520

117015840 has 120 divisors (see below), whose sum is σ = 413014140. Its totient is φ = 31200768.

The previous prime is 117015839. The next prime is 117015859. The reversal of 117015840 is 48510711.

117015840 is a `hidden beast` number, since 11 + 70 + 1 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 10265616 = 10332^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8446 + ... + 17474.

Almost surely, 2117015840 is an apocalyptic number.

117015840 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 117015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206507070).

117015840 is an abundant number, since it is smaller than the sum of its proper divisors (295998300).

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

117015840 is an equidigital number, since it uses as much as digits as its factorization.

117015840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 117015840 is about 10817.3860058704. The cubic root of 117015840 is about 489.1193957393.

It can be divided in two parts, 117015 and 840, that added together give a triangular number (117855 = T485).

The spelling of 117015840 in words is "one hundred seventeen million, fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 9029 12960 18058 27087 36116 45145 54174 72232 81261 90290 108348 135435 144464 162522 180580 216696 243783 270870 288928 325044 361160 406305 433392 487566 541740 650088 722320 731349 812610 866784 975132 1083480 1218915 1300176 1444640 1462698 1625220 1950264 2166960 2437830 2600352 2925396 3250440 3656745 3900528 4333920 4875660 5850792 6500880 7313490 7801056 9751320 11701584 13001760 14626980 19502640 23403168 29253960 39005280 58507920 117015840