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71309172 = 22311267733
BaseRepresentation
bin1000100000000…
…01011101110100
311222011212210110
410100001131310
5121223343142
611024223020
71524055314
oct420013564
9158155713
1071309172
1137285700
121ba6aa70
1311a0969c
149683444
1563d899c
hex4401774

71309172 has 72 divisors (see below), whose sum is σ = 185872288. Its totient is φ = 21257280.

The previous prime is 71309171. The next prime is 71309197. The reversal of 71309172 is 27190317.

It is a super-2 number, since 2×713091722 = 10169996022651168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71309171) 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, 96918 + ... + 97650.

Almost surely, 271309172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71309172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92936144).

71309172 is an abundant number, since it is smaller than the sum of its proper divisors (114563116).

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

71309172 is a wasteful number, since it uses less digits than its factorization.

71309172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 71309172 is about 8444.4758274271. The cubic root of 71309172 is about 414.6819491799.

Adding to 71309172 its reverse (27190317), we get a palindrome (98499489).

The spelling of 71309172 in words is "seventy-one million, three hundred nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 363 402 484 726 733 737 804 1452 1466 1474 2199 2211 2932 2948 4398 4422 8063 8107 8796 8844 16126 16214 24189 24321 32252 32428 48378 48642 49111 88693 96756 97284 98222 147333 177386 196444 266079 294666 354772 532158 540221 589332 1064316 1080442 1620663 2160884 3241326 5942431 6482652 11884862 17827293 23769724 35654586 71309172