Search a number
-
+
113213640 = 23352573671
BaseRepresentation
bin1101011111110…
…00000011001000
321220000211220210
412233320003020
5212440314030
615122321120
72543204631
oct657700310
9256024823
10113213640
11589a70a1
1231ab91a0
131a5bc027
1411070888
159e14bb0
hex6bf80c8

113213640 has 64 divisors (see below), whose sum is σ = 341055360. Its totient is φ = 30064640.

The previous prime is 113213629. The next prime is 113213657. The reversal of 113213640 is 46312311.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29005 + ... + 32675.

It is an arithmetic number, because the mean of its divisors is an integer number (5328990).

Almost surely, 2113213640 is an apocalyptic number.

113213640 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 113213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170527680).

113213640 is an abundant number, since it is smaller than the sum of its proper divisors (227841720).

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

113213640 is a wasteful number, since it uses less digits than its factorization.

113213640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113213640 is about 10640.1898479303. The cubic root of 113213640 is about 483.7632997832.

Adding to 113213640 its reverse (46312311), we get a palindrome (159525951).

The spelling of 113213640 in words is "one hundred thirteen million, two hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3671 3855 5140 6168 7342 7710 10280 11013 14684 15420 18355 22026 29368 30840 36710 44052 55065 73420 88104 110130 146840 220260 440520 943447 1886894 2830341 3773788 4717235 5660682 7547576 9434470 11321364 14151705 18868940 22642728 28303410 37737880 56606820 113213640