Search a number
-
+
113335680 = 273559029
BaseRepresentation
bin1101100000101…
…01110110000000
321220021001022210
412300111312000
5213003220210
615125102120
72544223503
oct660256600
9256231283
10113335680
1158a7a857
1231b57940
131a632743
14110a313a
159e3ae20
hex6c15d80

113335680 has 64 divisors (see below), whose sum is σ = 361263600. Its totient is φ = 30222336.

The previous prime is 113335657. The next prime is 113335681. The reversal of 113335680 is 86533311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1133356802 = 25689952722124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113335681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27595 + ... + 31434.

Almost surely, 2113335680 is an apocalyptic number.

113335680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113335680 is an abundant number, since it is smaller than the sum of its proper divisors (247927920).

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

113335680 is an equidigital number, since it uses as much as digits as its factorization.

113335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59051 (or 59039 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 113335680 is about 10645.9231633523. The cubic root of 113335680 is about 483.9370635101.

Adding to 113335680 its reverse (86533311), we get a palindrome (199868991).

The spelling of 113335680 in words is "one hundred thirteen million, three hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 59029 118058 177087 236116 295145 354174 472232 590290 708348 885435 944464 1180580 1416696 1770870 1888928 2361160 2833392 3541740 3777856 4722320 5666784 7083480 7555712 9444640 11333568 14166960 18889280 22667136 28333920 37778560 56667840 113335680