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71606993 = 312269277
BaseRepresentation
bin1000100010010…
…10001011010001
311222202000022212
410101022023101
5121312410433
611034441505
71526435513
oct421121321
9158660285
1071606993
1137469437
121bb93295
1311ab2103
14971dbb3
156446d48
hex444a2d1

71606993 has 12 divisors (see below), whose sum is σ = 74534580. Its totient is φ = 68790240.

The previous prime is 71606989. The next prime is 71607001. The reversal of 71606993 is 39960617.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8133904 + 63473089 = 2852^2 + 7967^2 .

It is not a de Polignac number, because 71606993 - 22 = 71606989 is a prime.

It is a super-2 number, since 2×716069932 = 10255122893004098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71606993.

It is not an unprimeable number, because it can be changed into a prime (71606933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258371 + ... + 258647.

It is an arithmetic number, because the mean of its divisors is an integer number (6211215).

Almost surely, 271606993 is an apocalyptic number.

It is an amenable number.

71606993 is a deficient number, since it is larger than the sum of its proper divisors (2927587).

71606993 is a wasteful number, since it uses less digits than its factorization.

71606993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 71606993 is about 8462.0915263308. The cubic root of 71606993 is about 415.2584503237.

The spelling of 71606993 in words is "seventy-one million, six hundred six thousand, nine hundred ninety-three".

Divisors: 1 31 269 277 961 8339 8587 74513 258509 266197 2309903 71606993