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71960634 = 23237167647
BaseRepresentation
bin1000100101000…
…00100000111010
312000101222102200
410102200200322
5121410220014
611050211030
71532440524
oct422404072
9160358380
1071960634
11376900a9
1220123a76
1311ba7075
1497b2a14
1564b6a09
hex44a083a

71960634 has 48 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 23162976.

The previous prime is 71960633. The next prime is 71960639. The reversal of 71960634 is 43606917.

71960634 is a `hidden beast` number, since 7 + 19 + 6 + 0 + 634 = 666.

It is not an unprimeable number, because it can be changed into a prime (71960633) 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, 110899 + ... + 111545.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 271960634 is an apocalyptic number.

71960634 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71960634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

71960634 is an abundant number, since it is smaller than the sum of its proper divisors (89375814).

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

71960634 is a wasteful number, since it uses less digits than its factorization.

71960634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71960634 is about 8482.9613932871. The cubic root of 71960634 is about 415.9409317328.

The spelling of 71960634 in words is "seventy-one million, nine hundred sixty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 167 222 333 334 501 647 666 1002 1294 1503 1941 3006 3882 5823 6179 11646 12358 18537 23939 37074 47878 55611 71817 108049 111222 143634 215451 216098 324147 430902 648294 972441 1944882 3997813 7995626 11993439 23986878 35980317 71960634