Search a number
-
+
117680040 = 2335512107
BaseRepresentation
bin1110000001110…
…10011110101000
322012102202200000
413000322132220
5220111230130
615402143000
72626156332
oct700723650
9265382600
10117680040
1160477835
12334b1a60
131b4c3c7a
14118b4452
15a4e8260
hex703a7a8

117680040 has 96 divisors (see below), whose sum is σ = 396658080. Its totient is φ = 31378752.

The previous prime is 117680033. The next prime is 117680047. The reversal of 117680040 is 40086711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117680033) and next prime (117680047).

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

It is a junction number, because it is equal to n+sod(n) for n = 117679986 and 117680013.

It is not an unprimeable number, because it can be changed into a prime (117680047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3667 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (4131855).

Almost surely, 2117680040 is an apocalyptic number.

117680040 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 117680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198329040).

117680040 is an abundant number, since it is smaller than the sum of its proper divisors (278978040).

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

117680040 is a wasteful number, since it uses less digits than its factorization.

117680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117680040 is about 10848.0431415071. The cubic root of 117680040 is about 490.0430893663.

The spelling of 117680040 in words is "one hundred seventeen million, six hundred eighty 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 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 12107 24214 36321 48428 60535 72642 96856 108963 121070 145284 181605 217926 242140 290568 326889 363210 435852 484280 544815 653778 726420 871704 980667 1089630 1307556 1452840 1634445 1961334 2179260 2615112 2942001 3268890 3922668 4358520 4903335 5884002 6537780 7845336 9806670 11768004 13075560 14710005 19613340 23536008 29420010 39226680 58840020 117680040