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106296456 = 2337632717
BaseRepresentation
bin1100101010111…
…11010010001000
321102000102022210
412111133102020
5204202441311
614314145120
72430335130
oct625372210
9242012283
10106296456
1155002112
122b7221a0
1319039716
141018dac0
1594ea3a6
hex655f488

106296456 has 32 divisors (see below), whose sum is σ = 303704640. Its totient is φ = 30370368.

The previous prime is 106296439. The next prime is 106296467. The reversal of 106296456 is 654692601.

It is a super-2 number, since 2×1062964562 = 22597873116319872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316191 + ... + 316526.

It is an arithmetic number, because the mean of its divisors is an integer number (9490770).

Almost surely, 2106296456 is an apocalyptic number.

It is an amenable number.

106296456 is an abundant number, since it is smaller than the sum of its proper divisors (197408184).

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

106296456 is a wasteful number, since it uses less digits than its factorization.

106296456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632733 (or 632729 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 106296456 is about 10310.0172647770. The cubic root of 106296456 is about 473.7031380143.

The spelling of 106296456 in words is "one hundred six million, two hundred ninety-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 632717 1265434 1898151 2530868 3796302 4429019 5061736 7592604 8858038 13287057 15185208 17716076 26574114 35432152 53148228 106296456