Search a number
-
+
117417740 = 225114911087
BaseRepresentation
bin1101111111110…
…10011100001100
322011221102212012
412333322130030
5220024331430
615352400352
72624014526
oct677723414
9264842765
10117417740
1160308760
12333a60b8
131b43176b
1411846a16
15a495695
hex6ffa70c

117417740 has 48 divisors (see below), whose sum is σ = 269789184. Its totient is φ = 42571200.

The previous prime is 117417731. The next prime is 117417763. The reversal of 117417740 is 47714711.

It is a junction number, because it is equal to n+sod(n) for n = 117417697 and 117417706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107477 + ... + 108563.

It is an arithmetic number, because the mean of its divisors is an integer number (5620608).

Almost surely, 2117417740 is an apocalyptic number.

117417740 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 117417740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134894592).

117417740 is an abundant number, since it is smaller than the sum of its proper divisors (152371444).

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

117417740 is a wasteful number, since it uses less digits than its factorization.

117417740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 117417740 is about 10835.9466591526. The cubic root of 117417740 is about 489.6787287336.

The spelling of 117417740 in words is "one hundred seventeen million, four hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 491 982 1087 1964 2174 2455 4348 4910 5401 5435 9820 10802 10870 11957 21604 21740 23914 27005 47828 54010 59785 108020 119570 239140 533717 1067434 2134868 2668585 5337170 5870887 10674340 11741774 23483548 29354435 58708870 117417740