Search a number
-
+
117345024 = 28345659
BaseRepresentation
bin1101111111010…
…00101100000000
322011210202010000
412333220230000
5220020020044
615351040000
72623262526
oct677505400
9264722100
10117345024
1160269065
1233370000
131b407634
1411828316
15a47dd69
hex6fe8b00

117345024 has 90 divisors (see below), whose sum is σ = 349963460. Its totient is φ = 39108096.

The previous prime is 117345023. The next prime is 117345047. The reversal of 117345024 is 420543711.

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

It is not an unprimeable number, because it can be changed into a prime (117345023) 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 9 ways as a sum of consecutive naturals, for example, 17907 + ... + 23565.

Almost surely, 2117345024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174981730).

117345024 is an abundant number, since it is smaller than the sum of its proper divisors (232618436).

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

117345024 is an frugal number, since it uses more digits than its factorization.

117345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 117345024 is about 10832.5908258366. The cubic root of 117345024 is about 489.5776229681.

Adding to 117345024 its reverse (420543711), we get a palindrome (537888735).

The spelling of 117345024 in words is "one hundred seventeen million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5659 6912 10368 11318 16977 20736 22636 33954 45272 50931 67908 90544 101862 135816 152793 181088 203724 271632 305586 362176 407448 458379 543264 611172 724352 814896 916758 1086528 1222344 1448704 1629792 1833516 2173056 2444688 3259584 3667032 4346112 4889376 6519168 7334064 9778752 13038336 14668128 19557504 29336256 39115008 58672512 117345024