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106472970 = 23251183033
BaseRepresentation
bin1100101100010…
…10011000001010
321102100101110100
412112022120022
5204224113340
614322030230
72432001552
oct626123012
9242311410
10106472970
115511279a
122b7a8376
131909bb76
14101d8162
159532830
hex658a60a

106472970 has 24 divisors (see below), whose sum is σ = 276829956. Its totient is φ = 28392768.

The previous prime is 106472963. The next prime is 106473011. The reversal of 106472970 is 79274601.

It is a happy number.

106472970 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 9 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103002201 + 3470769 = 10149^2 + 1863^2 .

It is a super-2 number, since 2×1064729702 = 22672986681241800, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 591427 + ... + 591606.

Almost surely, 2106472970 is an apocalyptic number.

106472970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106472970 is an abundant number, since it is smaller than the sum of its proper divisors (170356986).

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

106472970 is a wasteful number, since it uses less digits than its factorization.

106472970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183046 (or 1183043 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106472970 is about 10318.5740293899. The cubic root of 106472970 is about 473.9652006712.

The spelling of 106472970 in words is "one hundred six million, four hundred seventy-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1183033 2366066 3549099 5915165 7098198 10647297 11830330 17745495 21294594 35490990 53236485 106472970