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682001430 = 2351112716273
BaseRepresentation
bin101000101001101…
…000010000010110
31202112022021002020
4220221220100112
52344043021210
6151401354010
722620626235
oct5051502026
91675267066
10682001430
1131aa76850
12170498906
13ab3a9c56
1466810b1c
153ed19770
hex28a68416

682001430 has 64 divisors (see below), whose sum is σ = 1799774208. Its totient is φ = 164021760.

The previous prime is 682001429. The next prime is 682001449. The reversal of 682001430 is 34100286.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 682001430.

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 31 ways as a sum of consecutive naturals, for example, 33774 + ... + 50046.

It is an arithmetic number, because the mean of its divisors is an integer number (28121472).

Almost surely, 2682001430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899887104).

682001430 is an abundant number, since it is smaller than the sum of its proper divisors (1117772778).

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

682001430 is a wasteful number, since it uses less digits than its factorization.

682001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 682001430 is about 26115.1570931519. The cubic root of 682001430 is about 880.2278292682.

The spelling of 682001430 in words is "six hundred eighty-two million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 2794 3810 4191 6985 8382 13970 16273 20955 32546 41910 48819 81365 97638 162730 179003 244095 358006 488190 537009 895015 1074018 1790030 2066671 2685045 4133342 5370090 6200013 10333355 12400026 20666710 22733381 31000065 45466762 62000130 68200143 113666905 136400286 227333810 341000715 682001430