Search a number
-
+
682016640 = 27351013517
BaseRepresentation
bin101000101001101…
…011111110000000
31202112100000221120
4220221223332000
52344044013030
6151401552240
722621021464
oct5051537600
91675300846
10682016640
1131aa87218
121704a5680
13ab3b3b56
14668164a4
153ed1e010
hex28a6bf80

682016640 has 128 divisors (see below), whose sum is σ = 2196076320. Its totient is φ = 180019200.

The previous prime is 682016639. The next prime is 682016641. The reversal of 682016640 is 46610286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (682016639) and next prime (682016641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682016641) 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, 192162 + ... + 195678.

Almost surely, 2682016640 is an apocalyptic number.

682016640 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 682016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098038160).

682016640 is an abundant number, since it is smaller than the sum of its proper divisors (1514059680).

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

682016640 is a wasteful number, since it uses less digits than its factorization.

682016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 682016640 is about 26115.4483017236. The cubic root of 682016640 is about 880.2343728350.

The spelling of 682016640 in words is "six hundred eighty-two million, sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 303 320 384 404 480 505 606 640 808 960 1010 1212 1515 1616 1920 2020 2424 3030 3232 3517 4040 4848 6060 6464 7034 8080 9696 10551 12120 12928 14068 16160 17585 19392 21102 24240 28136 32320 35170 38784 42204 48480 52755 56272 64640 70340 84408 96960 105510 112544 140680 168816 193920 211020 225088 281360 337632 355217 422040 450176 562720 675264 710434 844080 1065651 1125440 1350528 1420868 1688160 1776085 2131302 2250880 2841736 3376320 3552170 4262604 5328255 5683472 6752640 7104340 8525208 10656510 11366944 14208680 17050416 21313020 22733888 28417360 34100832 42626040 45467776 56834720 68201664 85252080 113669440 136403328 170504160 227338880 341008320 682016640