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102146642 = 21321729613
BaseRepresentation
bin1100001011010…
…10001001010010
321010012120211222
412011222021102
5202122143032
614045205042
72350142423
oct605521122
9233176758
10102146642
1152728314
122a260782
1318215900
14d7cd64a
158e7aa12
hex616a252

102146642 has 48 divisors (see below), whose sum is σ = 182026440. Its totient is φ = 42771456.

The previous prime is 102146623. The next prime is 102146647. The reversal of 102146642 is 246641201.

It can be written as a sum of positive squares in 12 ways, for example, as 4116841 + 98029801 = 2029^2 + 9901^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (102146647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 166328 + ... + 166940.

Almost surely, 2102146642 is an apocalyptic number.

102146642 is a deficient number, since it is larger than the sum of its proper divisors (79879798).

102146642 is a wasteful number, since it uses less digits than its factorization.

102146642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 102146642 is about 10106.7621917209. The cubic root of 102146642 is about 467.4566739949.

Adding to 102146642 its reverse (246641201), we get a palindrome (348787843).

The spelling of 102146642 in words is "one hundred two million, one hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 13 17 26 29 34 58 169 221 338 377 442 493 613 754 986 1226 2873 4901 5746 6409 7969 9802 10421 12818 15938 17777 20842 35554 83317 103597 135473 166634 207194 231101 270946 302209 462202 604418 1761149 3004313 3522298 3928717 6008626 7857434 51073321 102146642