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5668740 = 22325711409
BaseRepresentation
bin10101100111111110000100
3101200000001100
4111213332010
52422344430
6321300100
766116640
oct25477604
911600040
105668740
113222010
121a94630
1312362ac
14a77c20
1576e960
hex567f84

5668740 has 144 divisors (see below), whose sum is σ = 21490560. Its totient is φ = 1175040.

The previous prime is 5668727. The next prime is 5668757. The reversal of 5668740 is 478665.

It is a happy number.

It is a super-2 number, since 2×56687402 = 64269226375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5668695 and 5668704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13656 + ... + 14064.

It is an arithmetic number, because the mean of its divisors is an integer number (149240).

Almost surely, 25668740 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 5668740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10745280).

5668740 is an abundant number, since it is smaller than the sum of its proper divisors (15821820).

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

5668740 is a wasteful number, since it uses less digits than its factorization.

5668740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5668740 is about 2380.9115901268. The cubic root of 5668740 is about 178.3044488889.

The spelling of 5668740 in words is "five million, six hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 409 420 462 495 630 660 693 770 818 924 990 1155 1227 1260 1386 1540 1636 1980 2045 2310 2454 2772 2863 3465 3681 4090 4499 4620 4908 5726 6135 6930 7362 8180 8589 8998 11452 12270 13497 13860 14315 14724 17178 17996 18405 22495 24540 25767 26994 28630 31493 34356 36810 40491 42945 44990 51534 53988 57260 62986 67485 73620 80982 85890 89980 94479 103068 125972 128835 134970 157465 161964 171780 188958 202455 257670 269940 283437 314930 377916 404910 472395 515340 566874 629860 809820 944790 1133748 1417185 1889580 2834370 5668740