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71676090 = 2345107827
BaseRepresentation
bin1000100010110…
…11000010111010
311222212112010000
410101123002322
5121322113330
611040133430
71530144123
oct421330272
9158775100
1071676090
1137506342
1220007276
1311b076b5
14973b04a
15645c560
hex445b0ba

71676090 has 80 divisors (see below), whose sum is σ = 194765472. Its totient is φ = 18912096.

The previous prime is 71676089. The next prime is 71676103. The reversal of 71676090 is 9067617.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86257 + ... + 87083.

Almost surely, 271676090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71676090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97382736).

71676090 is an abundant number, since it is smaller than the sum of its proper divisors (123089382).

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

71676090 is a wasteful number, since it uses less digits than its factorization.

71676090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 71676090 is about 8466.1732795874. The cubic root of 71676090 is about 415.3919749408.

The spelling of 71676090 in words is "seventy-one million, six hundred seventy-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 642 810 827 963 1070 1605 1654 1926 2481 2889 3210 4135 4815 4962 5778 7443 8270 8667 9630 12405 14445 14886 17334 22329 24810 28890 37215 43335 44658 66987 74430 86670 88489 111645 133974 176978 223290 265467 334935 442445 530934 669870 796401 884890 1327335 1592802 2389203 2654670 3982005 4778406 7167609 7964010 11946015 14335218 23892030 35838045 71676090