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683661420 = 22325131915377
BaseRepresentation
bin101000101111111…
…101100001101100
31202122102121011100
4220233331201230
52400004131140
6151501123100
722641011661
oct5057754154
91678377140
10683661420
113209aaa42
12170b59490
13ab83b6b0
1466b23a68
1540046530
hex28bfd86c

683661420 has 144 divisors (see below), whose sum is σ = 2350988640. Its totient is φ = 159418368.

The previous prime is 683661403. The next prime is 683661487. The reversal of 683661420 is 24166386.

683661420 is a `hidden beast` number, since 6 + 8 + 36 + 614 + 2 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 36772 + ... + 52148.

It is an arithmetic number, because the mean of its divisors is an integer number (16326310).

Almost surely, 2683661420 is an apocalyptic number.

683661420 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 683661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175494320).

683661420 is an abundant number, since it is smaller than the sum of its proper divisors (1667327220).

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

683661420 is a wasteful number, since it uses less digits than its factorization.

683661420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 683661420 is about 26146.9198950852. The cubic root of 683661420 is about 880.9414081730.

The spelling of 683661420 in words is "six hundred eighty-three million, six hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 15377 22230 30754 44460 46131 61508 76885 92262 138393 153770 184524 199901 230655 276786 292163 307540 399802 461310 553572 584326 599703 691965 799604 876489 922620 999505 1168652 1199406 1383930 1460815 1752978 1799109 1999010 2398812 2629467 2767860 2921630 2998515 3505956 3598218 3798119 3998020 4382445 5258934 5843260 5997030 7196436 7596238 8764890 8995545 10517868 11394357 11994060 13147335 15192476 17529780 17991090 18990595 22788714 26294670 34183071 35982180 37981190 45577428 52589340 56971785 68366142 75962380 113943570 136732284 170915355 227887140 341830710 683661420