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106306240 = 265332207
BaseRepresentation
bin1100101011000…
…01101011000000
321102000220202011
412111201223000
5204203244430
614314302304
72430405505
oct625415300
9242026664
10106306240
11550094a7
122b727994
1319041001
14101934ac
1594ed22a
hex6561ac0

106306240 has 28 divisors (see below), whose sum is σ = 253142496. Its totient is φ = 42522368.

The previous prime is 106306201. The next prime is 106306247. The reversal of 106306240 is 42603601.

It is a super-2 number, since 2×1063062402 = 22602033325875200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106306247) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 165784 + ... + 166423.

Almost surely, 2106306240 is an apocalyptic number.

106306240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306240 is an abundant number, since it is smaller than the sum of its proper divisors (146836256).

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

106306240 is an equidigital number, since it uses as much as digits as its factorization.

106306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332224 (or 332214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 106306240 is about 10310.4917438500. The cubic root of 106306240 is about 473.7176714851.

Adding to 106306240 its reverse (42603601), we get a palindrome (148909841).

The spelling of 106306240 in words is "one hundred six million, three hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 332207 664414 1328828 1661035 2657656 3322070 5315312 6644140 10630624 13288280 21261248 26576560 53153120 106306240