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106420653 = 32192332671
BaseRepresentation
bin1100101011111…
…01100110101101
321102020201200200
412111331212231
5204220430103
614320544113
72431363203
oct625754655
9242221620
10106420653
1155087459
122b782039
1319081101
14101c3073
1595220a3
hex657d9ad

106420653 has 24 divisors (see below), whose sum is σ = 162564480. Its totient is φ = 66899520.

The previous prime is 106420649. The next prime is 106420679. The reversal of 106420653 is 356024601.

106420653 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 0 + 653 = 666.

It is not a de Polignac number, because 106420653 - 22 = 106420649 is a prime.

It is a super-2 number, since 2×1064206532 = 22650710769892818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106420603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38508 + ... + 41178.

It is an arithmetic number, because the mean of its divisors is an integer number (6773520).

Almost surely, 2106420653 is an apocalyptic number.

It is an amenable number.

106420653 is a deficient number, since it is larger than the sum of its proper divisors (56143827).

106420653 is a wasteful number, since it uses less digits than its factorization.

106420653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106420653 is about 10316.0386292414. The cubic root of 106420653 is about 473.8875581175.

The spelling of 106420653 in words is "one hundred six million, four hundred twenty thousand, six hundred fifty-three".

Divisors: 1 3 9 19 57 171 233 699 2097 2671 4427 8013 13281 24039 39843 50749 152247 456741 622343 1867029 5601087 11824517 35473551 106420653