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5186720 = 255711421
BaseRepresentation
bin10011110010010010100000
3100202111211202
4103302102200
52311433340
6303100332
762041430
oct23622240
910674752
105186720
112a22950
1218a16a8
1310c7a86
149902c0
156c6c15
hex4f24a0

5186720 has 96 divisors (see below), whose sum is σ = 15313536. Its totient is φ = 1612800.

The previous prime is 5186689. The next prime is 5186729. The reversal of 5186720 is 276815.

It is not an unprimeable number, because it can be changed into a prime (5186729) 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, 12110 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (159516).

Almost surely, 25186720 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 5186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656768).

5186720 is an abundant number, since it is smaller than the sum of its proper divisors (10126816).

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

5186720 is a wasteful number, since it uses less digits than its factorization.

5186720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5186720 is about 2277.4371561033. The cubic root of 5186720 is about 173.1002125798.

The spelling of 5186720 in words is "five million, one hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 421 440 560 616 770 842 880 1120 1232 1540 1684 1760 2105 2464 2947 3080 3368 4210 4631 5894 6160 6736 8420 9262 11788 12320 13472 14735 16840 18524 23155 23576 29470 32417 33680 37048 46310 47152 58940 64834 67360 74096 92620 94304 117880 129668 148192 162085 185240 235760 259336 324170 370480 471520 518672 648340 740960 1037344 1296680 2593360 5186720