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71390208 = 2103171367
BaseRepresentation
bin1000100000101…
…01010000000000
311222022222221210
410100111100000
5121233441313
611030050120
71524543501
oct420252000
9158288853
1071390208
113733057a
121baa9940
1311a37536
1496a4ba8
1564029c3
hex4415400

71390208 has 88 divisors (see below), whose sum is σ = 201621312. Its totient is φ = 22380544.

The previous prime is 71390203. The next prime is 71390213. The reversal of 71390208 is 80209317.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71390203) and next prime (71390213).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71390203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51541 + ... + 52907.

Almost surely, 271390208 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 71390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810656).

71390208 is an abundant number, since it is smaller than the sum of its proper divisors (130231104).

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

71390208 is a wasteful number, since it uses less digits than its factorization.

71390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1389 counting only the distinct ones).

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

The square root of 71390208 is about 8449.2726314163. The cubic root of 71390208 is about 414.8389717350.

The spelling of 71390208 in words is "seventy-one million, three hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1367 1536 1632 2176 2734 3072 3264 4101 4352 5468 6528 8202 8704 10936 13056 16404 17408 21872 23239 26112 32808 43744 46478 52224 65616 69717 87488 92956 131232 139434 174976 185912 262464 278868 349952 371824 524928 557736 699904 743648 1049856 1115472 1399808 1487296 2099712 2230944 2974592 4199424 4461888 5949184 8923776 11898368 17847552 23796736 35695104 71390208