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71676738 = 23772341
BaseRepresentation
bin1000100010110…
…11001101000010
311222212120000000
410101123031002
5121322123423
611040140430
71530146040
oct421331502
9158776000
1071676738
1137506881
1220007716
1311b07a93
14973b390
15645c843
hex445b342

71676738 has 64 divisors (see below), whose sum is σ = 184362240. Its totient is φ = 20470320.

The previous prime is 71676713. The next prime is 71676749. The reversal of 71676738 is 83767617.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71676693 and 71676702.

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 31 ways as a sum of consecutive naturals, for example, 29448 + ... + 31788.

It is an arithmetic number, because the mean of its divisors is an integer number (2880660).

Almost surely, 271676738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71676738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92181120).

71676738 is an abundant number, since it is smaller than the sum of its proper divisors (112685502).

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

71676738 is an equidigital number, since it uses as much as digits as its factorization.

71676738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2353 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 71676738 is about 8466.2115494476. The cubic root of 71676738 is about 415.3932267446.

The spelling of 71676738 in words is "seventy-one million, six hundred seventy-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 2341 3402 4374 4682 5103 7023 10206 14046 15309 16387 21069 30618 32774 42138 49161 63207 98322 126414 147483 189621 294966 379242 442449 568863 884898 1137726 1327347 1706589 2654694 3413178 3982041 5119767 7964082 10239534 11946123 23892246 35838369 71676738