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71415216 = 2433165313
BaseRepresentation
bin1000100000110…
…11010110110000
311222101021021000
410100123112300
5121240241331
611030402000
71525006425
oct420332660
9158337230
1071415216
1137348344
121bb00300
1311a45a32
1496add4c
15640a0e6
hex441b5b0

71415216 has 40 divisors (see below), whose sum is σ = 204989360. Its totient is φ = 23804928.

The previous prime is 71415191. The next prime is 71415229. The reversal of 71415216 is 61251417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71415216.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82225 + ... + 83088.

It is an arithmetic number, because the mean of its divisors is an integer number (5124734).

Almost surely, 271415216 is an apocalyptic number.

It is an amenable number.

71415216 is an abundant number, since it is smaller than the sum of its proper divisors (133574144).

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

71415216 is a wasteful number, since it uses less digits than its factorization.

71415216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165330 (or 165318 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71415216 is about 8450.7523925388. The cubic root of 71415216 is about 414.8874054636.

It can be divided in two parts, 71415 and 216, that added together give a triangular number (71631 = T378).

The spelling of 71415216 in words is "seventy-one million, four hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 165313 330626 495939 661252 991878 1322504 1487817 1983756 2645008 2975634 3967512 4463451 5951268 7935024 8926902 11902536 17853804 23805072 35707608 71415216