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71675268 = 22372321613
BaseRepresentation
bin1000100010110…
…10110110000100
311222212110222120
410101122312010
5121322102033
611040125540
71530141540
oct421326604
9158773876
1071675268
1137505765
12200068b0
1311b07202
14973aa20
15645c1b3
hex445ad84

71675268 has 72 divisors (see below), whose sum is σ = 199929408. Its totient is φ = 19576128.

The previous prime is 71675203. The next prime is 71675273. The reversal of 71675268 is 86257617.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 43630 + ... + 45242.

Almost surely, 271675268 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 71675268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99964704).

71675268 is an abundant number, since it is smaller than the sum of its proper divisors (128254140).

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

71675268 is a wasteful number, since it uses less digits than its factorization.

71675268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1648 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 71675268 is about 8466.1247333122. The cubic root of 71675268 is about 415.3903869938.

The spelling of 71675268 in words is "seventy-one million, six hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 529 644 966 1058 1587 1613 1932 2116 3174 3226 3703 4839 6348 6452 7406 9678 11109 11291 14812 19356 22218 22582 33873 37099 44436 45164 67746 74198 111297 135492 148396 222594 259693 445188 519386 779079 853277 1038772 1558158 1706554 2559831 3116316 3413108 5119662 5972939 10239324 11945878 17918817 23891756 35837634 71675268