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71993313 = 337380917
BaseRepresentation
bin1000100101010…
…00011111100001
312000110122021000
410102220133201
5121412241223
611051022213
71532635020
oct422503741
9160418230
1071993313
1137702707
122013a969
1311bb8bc2
1497c08b7
1564c1543
hex44a87e1

71993313 has 16 divisors (see below), whose sum is σ = 121893760. Its totient is φ = 41138928.

The previous prime is 71993269. The next prime is 71993329. The reversal of 71993313 is 31339917.

It is not a de Polignac number, because 71993313 - 212 = 71989217 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71993333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190270 + ... + 190647.

It is an arithmetic number, because the mean of its divisors is an integer number (7618360).

Almost surely, 271993313 is an apocalyptic number.

It is an amenable number.

71993313 is a deficient number, since it is larger than the sum of its proper divisors (49900447).

71993313 is a wasteful number, since it uses less digits than its factorization.

71993313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380933 (or 380927 counting only the distinct ones).

The product of its digits is 15309, while the sum is 36.

The square root of 71993313 is about 8484.8873298353. The cubic root of 71993313 is about 416.0038850260.

The spelling of 71993313 in words is "seventy-one million, nine hundred ninety-three thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 380917 1142751 2666419 3428253 7999257 10284759 23997771 71993313