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71114688 = 2632331373
BaseRepresentation
bin1000011110100…
…01111111000000
311221211000000100
410033101333000
5121201132223
611020122400
71522315311
oct417217700
9157730010
1071114688
1137162577
121b996400
131196bcc8
149632608
15639b043
hex43d1fc0

71114688 has 84 divisors (see below), whose sum is σ = 205001368. Its totient is φ = 23569920.

The previous prime is 71114657. The next prime is 71114707. The reversal of 71114688 is 88641117.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190470 + ... + 190842.

Almost surely, 271114688 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 71114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102500684).

71114688 is an abundant number, since it is smaller than the sum of its proper divisors (133886680).

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

71114688 is a wasteful number, since it uses less digits than its factorization.

71114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 71114688 is about 8432.9525078705. The cubic root of 71114688 is about 414.3046137349.

The spelling of 71114688 in words is "seventy-one million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 331 373 576 662 746 993 1119 1324 1492 1986 2238 2648 2979 2984 3357 3972 4476 5296 5958 5968 6714 7944 8952 10592 11916 11936 13428 15888 17904 21184 23832 23872 26856 31776 35808 47664 53712 63552 71616 95328 107424 123463 190656 214848 246926 370389 493852 740778 987704 1111167 1481556 1975408 2222334 2963112 3950816 4444668 5926224 7901632 8889336 11852448 17778672 23704896 35557344 71114688