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10029075 = 352722729
BaseRepresentation
bin100110010000…
…100000010011
3200212112022020
4212100200103
510031412300
6554542523
7151150200
oct46204023
920775266
1010029075
11572aaa1
123437a43
132101b84
141490ca7
15d318a0
hex990813

10029075 has 36 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 4583040.

The previous prime is 10029067. The next prime is 10029079. The reversal of 10029075 is 57092001.

It is not a de Polignac number, because 10029075 - 23 = 10029067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10029079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2311 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 210029075 is an apocalyptic number.

10029075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10029075 is a deficient number, since it is larger than the sum of its proper divisors (9266565).

10029075 is a wasteful number, since it uses less digits than its factorization.

10029075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10029075 is about 3166.8714846043. The cubic root of 10029075 is about 215.6520675955.

The spelling of 10029075 in words is "ten million, twenty-nine thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 2729 3675 8187 13645 19103 40935 57309 68225 95515 133721 204675 286545 401163 477575 668605 1432725 2005815 3343025 10029075