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10028967 = 3132131151
BaseRepresentation
bin100110010000…
…011110100111
3200212112011020
4212100132213
510031411332
6554542223
7151146654
oct46203647
920775136
1010028967
11572aa03
123437973
132101b00
141490c2b
15d3182c
hex9907a7

10028967 has 24 divisors (see below), whose sum is σ = 14686848. Its totient is φ = 6084000.

The previous prime is 10028951. The next prime is 10028987. The reversal of 10028967 is 76982001.

10028967 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10028967 - 24 = 10028951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66342 + ... + 66492.

It is an arithmetic number, because the mean of its divisors is an integer number (611952).

Almost surely, 210028967 is an apocalyptic number.

10028967 is a deficient number, since it is larger than the sum of its proper divisors (4657881).

10028967 is a wasteful number, since it uses less digits than its factorization.

10028967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10028967 is about 3166.8544330297. The cubic root of 10028967 is about 215.6512934960.

The spelling of 10028967 in words is "ten million, twenty-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 13 39 131 151 169 393 453 507 1703 1963 5109 5889 19781 22139 25519 59343 66417 76557 257153 771459 3342989 10028967