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10142658 = 234137457
BaseRepresentation
bin100110101100…
…001111000010
3201002022010000
4212230033002
510044031113
61001220430
7152132301
oct46541702
921068100
1010142658
1157a8369
123491716
132141796
1414c0438
15d55373
hex9ac3c2

10142658 has 40 divisors (see below), whose sum is σ = 22943052. Its totient is φ = 3348864.

The previous prime is 10142651. The next prime is 10142681. The reversal of 10142658 is 85624101.

10142658 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 658 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 613089 = 3087^2 + 783^2 .

It is a super-2 number, since 2×101426582 = 205747022609928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10142651) 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 19 ways as a sum of consecutive naturals, for example, 21966 + ... + 22422.

Almost surely, 210142658 is an apocalyptic number.

10142658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471526).

10142658 is an abundant number, since it is smaller than the sum of its proper divisors (12800394).

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

10142658 is a wasteful number, since it uses less digits than its factorization.

10142658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10142658 is about 3184.7539936391. The cubic root of 10142658 is about 216.4631266685.

Adding to 10142658 its reverse (85624101), we get a palindrome (95766759).

The spelling of 10142658 in words is "ten million, one hundred forty-two thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 457 822 914 1233 1371 2466 2742 3699 4113 7398 8226 11097 12339 22194 24678 37017 62609 74034 125218 187827 375654 563481 1126962 1690443 3380886 5071329 10142658