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35057106 = 23272312097
BaseRepresentation
bin1000010110111…
…0110111010010
32102222002022100
42011232313102
532433311411
63251221230
7603660210
oct205566722
972862270
1035057106
1118874a17
12b8a7816
137355a66
144927cb0
153127456
hex216edd2

35057106 has 48 divisors (see below), whose sum is σ = 90589824. Its totient is φ = 9580032.

The previous prime is 35057101. The next prime is 35057107. The reversal of 35057106 is 60175053.

It is a self number, because there is not a number n which added to its sum of digits gives 35057106.

It is not an unprimeable number, because it can be changed into a prime (35057101) 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, 3151 + ... + 8946.

It is an arithmetic number, because the mean of its divisors is an integer number (1887288).

Almost surely, 235057106 is an apocalyptic number.

35057106 is an abundant number, since it is smaller than the sum of its proper divisors (55532718).

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

35057106 is a wasteful number, since it uses less digits than its factorization.

35057106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 35057106 is about 5920.9041539278. The cubic root of 35057106 is about 327.2844367443.

The spelling of 35057106 in words is "thirty-five million, fifty-seven thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 12097 24194 36291 72582 84679 108873 169358 217746 254037 278231 508074 556462 762111 834693 1524222 1669386 1947617 2504079 3895234 5008158 5842851 11685702 17528553 35057106