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106306256 = 2474871949
BaseRepresentation
bin1100101011000…
…01101011010000
321102000220202202
412111201223100
5204203300011
614314302332
72430405530
oct625415320
9242026682
10106306256
1155009511
122b7279a8
1319041014
14101934c0
1594ed23b
hex6561ad0

106306256 has 40 divisors (see below), whose sum is σ = 235996800. Its totient is φ = 45442944.

The previous prime is 106306247. The next prime is 106306261. The reversal of 106306256 is 652603601.

It is a super-2 number, since 2×1063062562 = 22602040129475072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53570 + ... + 55518.

It is an arithmetic number, because the mean of its divisors is an integer number (5899920).

Almost surely, 2106306256 is an apocalyptic number.

106306256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106306256 is an abundant number, since it is smaller than the sum of its proper divisors (129690544).

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

106306256 is a wasteful number, since it uses less digits than its factorization.

106306256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106306256 is about 10310.4925197587. The cubic root of 106306256 is about 473.7176952513.

Adding to 106306256 its reverse (652603601), we get a palindrome (758909857).

The spelling of 106306256 in words is "one hundred six million, three hundred six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 487 974 1948 1949 3409 3896 3898 6818 7792 7796 13636 13643 15592 27272 27286 31184 54544 54572 109144 218288 949163 1898326 3796652 6644141 7593304 13288282 15186608 26576564 53153128 106306256