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106930944 = 283246411
BaseRepresentation
bin1100101111110…
…10001100000000
321110012122200100
412113322030000
5204333242234
614335522400
72435620011
oct627721400
9243178610
10106930944
11553a588a
122b989400
13191cc463
14102b7008
1595c3399
hex65fa300

106930944 has 54 divisors (see below), whose sum is σ = 308314916. Its totient is φ = 35642880.

The previous prime is 106930939. The next prime is 106930949. The reversal of 106930944 is 449039601.

It is an interprime number because it is at equal distance from previous prime (106930939) and next prime (106930949).

It is a super-2 number, since 2×1069309442 = 22868453569462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106930899 and 106930908.

It is not an unprimeable number, because it can be changed into a prime (106930949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20902 + ... + 25509.

Almost surely, 2106930944 is an apocalyptic number.

It is an amenable number.

106930944 is an abundant number, since it is smaller than the sum of its proper divisors (201383972).

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

106930944 is an equidigital number, since it uses as much as digits as its factorization.

106930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46433 (or 46416 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106930944 is about 10340.7419463015. The cubic root of 106930944 is about 474.6437868588.

The spelling of 106930944 in words is "one hundred six million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 46411 92822 139233 185644 278466 371288 417699 556932 742576 835398 1113864 1485152 1670796 2227728 2970304 3341592 4455456 5940608 6683184 8910912 11881216 13366368 17821824 26732736 35643648 53465472 106930944