Search a number
-
+
106696640 = 265333427
BaseRepresentation
bin1100101110000…
…00111111000000
321102202202021102
412113000333000
5204303243030
614330513532
72433622631
oct627007700
9242682242
10106696640
1155255846
122b8958a8
131914990b
1410255888
159578c45
hex65c0fc0

106696640 has 28 divisors (see below), whose sum is σ = 254072136. Its totient is φ = 42678528.

The previous prime is 106696613. The next prime is 106696649. The reversal of 106696640 is 46696601.

It is a super-2 number, since 2×1066966402 = 22768345974579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106696594 and 106696603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106696649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166394 + ... + 167033.

Almost surely, 2106696640 is an apocalyptic number.

106696640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106696640 is an abundant number, since it is smaller than the sum of its proper divisors (147375496).

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

106696640 is an equidigital number, since it uses as much as digits as its factorization.

106696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333444 (or 333434 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 106696640 is about 10329.4065657229. The cubic root of 106696640 is about 474.2968580838.

The spelling of 106696640 in words is "one hundred six million, six hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 333427 666854 1333708 1667135 2667416 3334270 5334832 6668540 10669664 13337080 21339328 26674160 53348320 106696640