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682030960 = 245132328513
BaseRepresentation
bin101000101001101…
…111011101110000
31202112100202120221
4220221233131300
52344044442320
6151402142424
722621111312
oct5051573560
91675322527
10682030960
1131aa96a56
121704b1a14
13ab3ba520
146681b7b2
153ed233aa
hex28a6f770

682030960 has 80 divisors (see below), whose sum is σ = 1782010944. Its totient is φ = 240869376.

The previous prime is 682030949. The next prime is 682030967. The reversal of 682030960 is 69030286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682030967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9664 + ... + 38176.

Almost surely, 2682030960 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 682030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891005472).

682030960 is an abundant number, since it is smaller than the sum of its proper divisors (1099979984).

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

682030960 is a wasteful number, since it uses less digits than its factorization.

682030960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28562 (or 28556 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 682030960 is about 26115.7224675099. The cubic root of 682030960 is about 880.2405334217.

The spelling of 682030960 in words is "six hundred eighty-two million, thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 28513 57026 114052 142565 228104 285130 370669 456208 570260 655799 741338 1140520 1311598 1482676 1853345 2281040 2623196 2965352 3278995 3706690 5246392 5930704 6557990 7413380 8525387 10492784 13115980 14826760 17050774 26231960 29653520 34101548 42626935 52463920 68203096 85253870 136406192 170507740 341015480 682030960