Search a number
-
+
106725440 = 265333517
BaseRepresentation
bin1100101110010…
…00000001000000
321102211012210002
412113020001000
5204310203230
614331255132
72434102613
oct627100100
9242735702
10106725440
1155275448
122b8aa4a8
1319159a63
141026217a
159582545
hex65c8040

106725440 has 28 divisors (see below), whose sum is σ = 254140716. Its totient is φ = 42690048.

The previous prime is 106725433. The next prime is 106725457. The reversal of 106725440 is 44527601.

It can be written as a sum of positive squares in 2 ways, for example, as 15178816 + 91546624 = 3896^2 + 9568^2 .

It is a super-2 number, since 2×1067254402 = 22780639086387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166439 + ... + 167078.

Almost surely, 2106725440 is an apocalyptic number.

106725440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106725440 is an abundant number, since it is smaller than the sum of its proper divisors (147415276).

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

106725440 is an equidigital number, since it uses as much as digits as its factorization.

106725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333534 (or 333524 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 106725440 is about 10330.8005498122. The cubic root of 106725440 is about 474.3395289703.

The spelling of 106725440 in words is "one hundred six million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 333517 667034 1334068 1667585 2668136 3335170 5336272 6670340 10672544 13340680 21345088 26681360 53362720 106725440