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10197864 = 2332141637
BaseRepresentation
bin100110111001…
…101101101000
3201012002211200
4212321231220
510102312424
61002324200
7152452245
oct46715550
921162750
1010197864
115835896
1234b9660
132160951
1414d65cc
15d668c9
hex9b9b68

10197864 has 24 divisors (see below), whose sum is σ = 27619410. Its totient is φ = 3399264.

The previous prime is 10197857. The next prime is 10197893. The reversal of 10197864 is 46879101.

It can be written as a sum of positive squares in only one way, i.e., 7064964 + 3132900 = 2658^2 + 1770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 70747 + ... + 70890.

Almost surely, 210197864 is an apocalyptic number.

It is an amenable number.

10197864 is an abundant number, since it is smaller than the sum of its proper divisors (17421546).

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

10197864 is a wasteful number, since it uses less digits than its factorization.

10197864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141649 (or 141642 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10197864 is about 3193.4094632540. The cubic root of 10197864 is about 216.8551490716.

The spelling of 10197864 in words is "ten million, one hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 141637 283274 424911 566548 849822 1133096 1274733 1699644 2549466 3399288 5098932 10197864