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65068029 = 3413611013
BaseRepresentation
bin1111100000110…
…1101111111101
311112102210120000
43320031233331
5113124134104
610242344513
71420032465
oct370155775
9145383500
1065068029
1133802634
121995b139
13106329c0
1488daba5
155aa4639
hex3e0dbfd

65068029 has 40 divisors (see below), whose sum is σ = 106498392. Its totient is φ = 39346560.

The previous prime is 65068019. The next prime is 65068037. The reversal of 65068029 is 92086056.

It can be written as a sum of positive squares in 4 ways, for example, as 13616100 + 51451929 = 3690^2 + 7173^2 .

It is not a de Polignac number, because 65068029 - 215 = 65035261 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65067984 and 65068002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65068009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63727 + ... + 64739.

Almost surely, 265068029 is an apocalyptic number.

It is an amenable number.

65068029 is a deficient number, since it is larger than the sum of its proper divisors (41430363).

65068029 is a wasteful number, since it uses less digits than its factorization.

65068029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65068029 is about 8066.4756244595. The cubic root of 65068029 is about 402.2127966712.

It can be divided in two parts, 6506 and 8029, that added together give a triangular number (14535 = T170).

The spelling of 65068029 in words is "sixty-five million, sixty-eight thousand, twenty-nine".

Divisors: 1 3 9 13 27 39 61 81 117 183 351 549 793 1013 1053 1647 2379 3039 4941 7137 9117 13169 21411 27351 39507 61793 64233 82053 118521 185379 355563 556137 803309 1066689 1668411 2409927 5005233 7229781 21689343 65068029