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113675040 = 2532578941
BaseRepresentation
bin1101100011010…
…00101100100000
321220220021211200
412301220230200
5213100100130
615140241200
72550136053
oct661505440
9256807750
10113675040
1159191816
12320a0200
131a72104b
1411150a9a
159ea6760
hex6c68b20

113675040 has 72 divisors (see below), whose sum is σ = 387920988. Its totient is φ = 30312960.

The previous prime is 113675021. The next prime is 113675069. The reversal of 113675040 is 40576311.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 7420176 = 10308^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 113674995 and 113675013.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38031 + ... + 40910.

Almost surely, 2113675040 is an apocalyptic number.

113675040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113675040 is an abundant number, since it is smaller than the sum of its proper divisors (274245948).

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

113675040 is a wasteful number, since it uses less digits than its factorization.

113675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78962 (or 78951 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113675040 is about 10661.8497457055. The cubic root of 113675040 is about 484.4195983354.

It can be divided in two parts, 1136 and 75040, that added together give a square (76176 = 2762).

The spelling of 113675040 in words is "one hundred thirteen million, six hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 78941 157882 236823 315764 394705 473646 631528 710469 789410 947292 1184115 1263056 1420938 1578820 1894584 2368230 2526112 2841876 3157640 3552345 3789168 4736460 5683752 6315280 7104690 7578336 9472920 11367504 12630560 14209380 18945840 22735008 28418760 37891680 56837520 113675040