Search a number
-
+
663682440 = 233561711277
BaseRepresentation
bin100111100011101…
…111110110001000
31201020211120011010
4213203233312020
52324400314230
6145505003520
722306131141
oct4743576610
91636746133
10663682440
113106a4493
121663235a0
13a7664a05
1464202ac8
153d3eb9b0
hex278efd88

663682440 has 128 divisors (see below), whose sum is σ = 2053797120. Its totient is φ = 171494400.

The previous prime is 663682423. The next prime is 663682463. The reversal of 663682440 is 44286366.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519082 + ... + 520358.

It is an arithmetic number, because the mean of its divisors is an integer number (16045290).

Almost surely, 2663682440 is an apocalyptic number.

663682440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026898560).

663682440 is an abundant number, since it is smaller than the sum of its proper divisors (1390114680).

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

663682440 is a wasteful number, since it uses less digits than its factorization.

663682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 663682440 is about 25762.0348575185. The cubic root of 663682440 is about 872.2750338844.

The spelling of 663682440 in words is "six hundred sixty-three million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 71 120 122 142 183 213 244 284 305 355 366 426 488 568 610 710 732 852 915 1065 1220 1277 1420 1464 1704 1830 2130 2440 2554 2840 3660 3831 4260 4331 5108 6385 7320 7662 8520 8662 10216 12770 12993 15324 17324 19155 21655 25540 25986 30648 34648 38310 43310 51080 51972 64965 76620 77897 86620 90667 103944 129930 153240 155794 173240 181334 233691 259860 272001 311588 362668 389485 453335 467382 519720 544002 623176 725336 778970 906670 934764 1088004 1168455 1360005 1557940 1813340 1869528 2176008 2336910 2720010 3115880 3626680 4673820 5440020 5530687 9347640 10880040 11061374 16592061 22122748 27653435 33184122 44245496 55306870 66368244 82960305 110613740 132736488 165920610 221227480 331841220 663682440