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71000064 = 21334107
BaseRepresentation
bin1000011101101…
…10000000000000
311221121011210000
410032312000000
5121134000224
611013440000
71521330162
oct416660000
9157534700
1071000064
1137094443
121b940000
131192ba95
149602932
1563770c9
hex43b6000

71000064 has 140 divisors (see below), whose sum is σ = 214093044. Its totient is φ = 23445504.

The previous prime is 71000051. The next prime is 71000081. The reversal of 71000064 is 46000017.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663499 + ... + 663605.

Almost surely, 271000064 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 71000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107046522).

71000064 is an abundant number, since it is smaller than the sum of its proper divisors (143092980).

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

71000064 is an equidigital number, since it uses as much as digits as its factorization.

71000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71000064 is about 8426.1535708768. The cubic root of 71000064 is about 414.0818993612.

The spelling of 71000064 in words is "seventy-one million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 128 144 162 192 214 216 256 288 321 324 384 428 432 512 576 642 648 768 856 864 963 1024 1152 1284 1296 1536 1712 1728 1926 2048 2304 2568 2592 2889 3072 3424 3456 3852 4096 4608 5136 5184 5778 6144 6848 6912 7704 8192 8667 9216 10272 10368 11556 12288 13696 13824 15408 17334 18432 20544 20736 23112 24576 27392 27648 30816 34668 36864 41088 41472 46224 54784 55296 61632 69336 73728 82176 82944 92448 109568 110592 123264 138672 164352 165888 184896 219136 221184 246528 277344 328704 331776 369792 438272 493056 554688 657408 663552 739584 876544 986112 1109376 1314816 1479168 1972224 2218752 2629632 2958336 3944448 4437504 5916672 7888896 8875008 11833344 17750016 23666688 35500032 71000064