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71025669 = 321121329173
BaseRepresentation
bin1000011101111…
…00010000000101
311221122110220100
410032330100011
5121140310134
611014154313
71521464631
oct416742005
9157573810
1071025669
1137101700
121b952999
131193a630
14960bdc1
15637e999
hex43bc405

71025669 has 72 divisors (see below), whose sum is σ = 126355320. Its totient is φ = 38142720.

The previous prime is 71025613. The next prime is 71025683. The reversal of 71025669 is 96652017.

It can be written as a sum of positive squares in 4 ways, for example, as 13417569 + 57608100 = 3663^2 + 7590^2 .

It is not a de Polignac number, because 71025669 - 211 = 71023621 is a prime.

It is a super-2 number, since 2×710256692 = 10089291313795122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71025169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410467 + ... + 410639.

It is an arithmetic number, because the mean of its divisors is an integer number (1754935).

Almost surely, 271025669 is an apocalyptic number.

It is an amenable number.

71025669 is a deficient number, since it is larger than the sum of its proper divisors (55329651).

71025669 is a wasteful number, since it uses less digits than its factorization.

71025669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71025669 is about 8427.6728104501. The cubic root of 71025669 is about 414.1316706437.

The spelling of 71025669 in words is "seventy-one million, twenty-five thousand, six hundred sixty-nine".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 121 143 173 261 319 363 377 429 519 957 1089 1131 1287 1557 1573 1903 2249 2871 3393 3509 4147 4719 5017 5709 6747 10527 12441 14157 15051 17127 20241 20933 24739 31581 37323 45153 45617 55187 62799 65221 74217 136851 165561 188397 195663 222651 272129 410553 496683 586989 607057 717431 816387 1821171 2152293 2449161 5463513 6456879 7891741 23675223 71025669