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5692680 = 233457251
BaseRepresentation
bin10101101101110100001000
3101201012220000
4111231310020
52424131210
6322003000
766246510
oct25556410
911635800
105692680
113238aa4
121aa6460
131244166
14a82840
15776ac0
hex56dd08

5692680 has 160 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1296000.

The previous prime is 5692669. The next prime is 5692693. The reversal of 5692680 is 862965.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22555 + ... + 22805.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 25692680 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 5692680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

5692680 is an abundant number, since it is smaller than the sum of its proper divisors (16261560).

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

5692680 is a wasteful number, since it uses less digits than its factorization.

5692680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5692680 is about 2385.9337794666. The cubic root of 5692680 is about 178.5550991544. Note that the first 3 decimals are identical.

It can be divided in two parts, 569 and 2680, that added together give a square (3249 = 572).

The spelling of 5692680 in words is "five million, six hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 251 252 270 280 315 324 360 378 405 420 502 504 540 567 630 648 753 756 810 840 945 1004 1080 1134 1255 1260 1506 1512 1620 1757 1890 2008 2259 2268 2510 2520 2835 3012 3240 3514 3765 3780 4518 4536 5020 5271 5670 6024 6777 7028 7530 7560 8785 9036 10040 10542 11295 11340 13554 14056 15060 15813 17570 18072 20331 21084 22590 22680 26355 27108 30120 31626 33885 35140 40662 42168 45180 47439 52710 54216 63252 67770 70280 79065 81324 90360 94878 101655 105420 126504 135540 142317 158130 162648 189756 203310 210840 237195 271080 284634 316260 379512 406620 474390 569268 632520 711585 813240 948780 1138536 1423170 1897560 2846340 5692680