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10642077 = 332317137
BaseRepresentation
bin101000100110…
…001010011101
3202000200012000
4220212022131
510211021302
61020032513
7156312315
oct50461235
922020160
1010642077
116009606
123692739
132287bb4
1415b0445
15e0331c
hexa2629d

10642077 has 16 divisors (see below), whose sum is σ = 16452480. Its totient is φ = 6785856.

The previous prime is 10642039. The next prime is 10642081. The reversal of 10642077 is 77024601.

10642077 is a `hidden beast` number, since 10 + 642 + 0 + 7 + 7 = 666.

It is not a de Polignac number, because 10642077 - 210 = 10641053 is a prime.

It is a super-2 number, since 2×106420772 = 226507605747858, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10642077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642097) 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 15 ways as a sum of consecutive naturals, for example, 7948 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (1028280).

Almost surely, 210642077 is an apocalyptic number.

It is an amenable number.

10642077 is a deficient number, since it is larger than the sum of its proper divisors (5810403).

10642077 is a wasteful number, since it uses less digits than its factorization.

10642077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10642077 is about 3262.2196431264. The cubic root of 10642077 is about 219.9592004231.

Adding to 10642077 its reverse (77024601), we get a palindrome (87666678).

The spelling of 10642077 in words is "ten million, six hundred forty-two thousand, seventy-seven".

Divisors: 1 3 9 23 27 69 207 621 17137 51411 154233 394151 462699 1182453 3547359 10642077