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2071008 = 25341747
BaseRepresentation
bin111111001100111100000
310220012220000
413321213200
51012233013
6112220000
723413632
oct7714740
93805800
102071008
111194a85
1283a600
13576864
143bca52
152ad973
hex1f99e0

2071008 has 120 divisors (see below), whose sum is σ = 6586272. Its totient is φ = 635904.

The previous prime is 2071007. The next prime is 2071063. The reversal of 2071008 is 8001702.

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

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44041 + ... + 44087.

22071008 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 2071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136).

2071008 is an abundant number, since it is smaller than the sum of its proper divisors (4515264).

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

2071008 is a wasteful number, since it uses less digits than its factorization.

2071008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2071008 is about 1439.0997185741. The cubic root of 2071008 is about 127.4658732193.

The spelling of 2071008 in words is "two million, seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 47 48 51 54 68 72 81 94 96 102 108 136 141 144 153 162 188 204 216 272 282 288 306 324 376 408 423 432 459 544 564 612 648 752 799 816 846 864 918 1128 1224 1269 1296 1377 1504 1598 1632 1692 1836 2256 2397 2448 2538 2592 2754 3196 3384 3672 3807 4512 4794 4896 5076 5508 6392 6768 7191 7344 7614 9588 10152 11016 12784 13536 14382 14688 15228 19176 20304 21573 22032 25568 28764 30456 38352 40608 43146 44064 57528 60912 64719 76704 86292 115056 121824 129438 172584 230112 258876 345168 517752 690336 1035504 2071008