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71113152 = 2631123061
BaseRepresentation
bin1000011110100…
…01100111000000
311221210220220110
410033101213000
5121201110102
611020111320
71522310655
oct417214700
9157726813
1071113152
1137161400
121b995540
131196b3b6
149631c2c
15639a86c
hex43d19c0

71113152 has 84 divisors (see below), whose sum is σ = 206880968. Its totient is φ = 21542400.

The previous prime is 71113111. The next prime is 71113183. The reversal of 71113152 is 25131117.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21702 + ... + 24762.

Almost surely, 271113152 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 71113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103440484).

71113152 is an abundant number, since it is smaller than the sum of its proper divisors (135767816).

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

71113152 is a wasteful number, since it uses less digits than its factorization.

71113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3077 counting only the distinct ones).

The product of its digits is 210, while the sum is 21.

The square root of 71113152 is about 8432.8614360726. The cubic root of 71113152 is about 414.3016308703.

Adding to 71113152 its reverse (25131117), we get a palindrome (96244269).

The spelling of 71113152 in words is "seventy-one million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3061 3872 5808 6122 7744 9183 11616 12244 18366 23232 24488 33671 36732 48976 67342 73464 97952 101013 134684 146928 195904 202026 269368 293856 370381 404052 538736 587712 740762 808104 1077472 1111143 1481524 1616208 2154944 2222286 2963048 3232416 4444572 5926096 6464832 8889144 11852192 17778288 23704384 35556576 71113152