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71930208 = 2537293691
BaseRepresentation
bin1000100100110…
…01000101100000
312000100102200210
410102121011200
5121403231313
611045414120
71532253030
oct422310540
9160312623
1071930208
113766a259
122010a340
1311b9626c
1497a58c0
1564ac9c3
hex4499160

71930208 has 96 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 19837440.

The previous prime is 71930203. The next prime is 71930227. The reversal of 71930208 is 80203917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71930203) 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, 17643 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 271930208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71930208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

71930208 is an abundant number, since it is smaller than the sum of its proper divisors (151361952).

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

71930208 is a wasteful number, since it uses less digits than its factorization.

71930208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 71930208 is about 8481.1678441120. The cubic root of 71930208 is about 415.8823015154.

The spelling of 71930208 in words is "seventy-one million, nine hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 3691 4872 6496 7382 9744 11073 14764 19488 22146 25837 29528 44292 51674 59056 77511 88584 103348 107039 118112 155022 177168 206696 214078 310044 321117 354336 413392 428156 620088 642234 749273 826784 856312 1240176 1284468 1498546 1712624 2247819 2480352 2568936 2997092 3425248 4495638 5137872 5994184 8991276 10275744 11988368 17982552 23976736 35965104 71930208