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5071680 = 26335587
BaseRepresentation
bin10011010110001101000000
3100112200001000
4103112031000
52244243210
6300412000
761052145
oct23261500
910480030
105071680
112954479
121847000
1310875c3
149603cc
156a2ac0
hex4d6340

5071680 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 1350144.

The previous prime is 5071679. The next prime is 5071687. The reversal of 5071680 is 861705.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8347 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 25071680 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 5071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

5071680 is an abundant number, since it is smaller than the sum of its proper divisors (12850560).

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

5071680 is a wasteful number, since it uses less digits than its factorization.

5071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5071680 is about 2252.0390760375. The cubic root of 5071680 is about 171.8108611370.

It can be divided in two parts, 507 and 1680, that added together give a 7-th power (2187 = 37).

The spelling of 5071680 in words is "five million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 587 720 864 960 1080 1174 1440 1728 1761 2160 2348 2880 2935 3522 4320 4696 5283 5870 7044 8640 8805 9392 10566 11740 14088 15849 17610 18784 21132 23480 26415 28176 31698 35220 37568 42264 46960 52830 56352 63396 70440 79245 84528 93920 105660 112704 126792 140880 158490 169056 187840 211320 253584 281760 316980 338112 422640 507168 563520 633960 845280 1014336 1267920 1690560 2535840 5071680