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46113320 = 23511104803
BaseRepresentation
bin1010111111101…
…0001000101000
310012202210120202
42233322020220
543301111240
64324211332
71066646111
oct257721050
9105683522
1046113320
1124036690
1213539b48
1397272b6
1461a5208
1540ad315
hex2bfa228

46113320 has 32 divisors (see below), whose sum is σ = 113188320. Its totient is φ = 16768320.

The previous prime is 46113317. The next prime is 46113341. The reversal of 46113320 is 2331164.

46113320 = T355 + T356 + ... + T684.

46113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 46113292 and 46113301.

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 7 ways as a sum of consecutive naturals, for example, 51962 + ... + 52841.

It is an arithmetic number, because the mean of its divisors is an integer number (3537135).

Almost surely, 246113320 is an apocalyptic number.

46113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46113320 is an abundant number, since it is smaller than the sum of its proper divisors (67075000).

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

46113320 is a wasteful number, since it uses less digits than its factorization.

46113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104825 (or 104821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 46113320 is about 6790.6789056765. The cubic root of 46113320 is about 358.5987711771.

Adding to 46113320 its reverse (2331164), we get a palindrome (48444484).

The spelling of 46113320 in words is "forty-six million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 104803 209606 419212 524015 838424 1048030 1152833 2096060 2305666 4192120 4611332 5764165 9222664 11528330 23056660 46113320