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536980680 = 233251639151
BaseRepresentation
bin100000000000011…
…010110011001000
31101102102110000100
4200000122303020
52044431340210
6125141205400
716210155225
oct4000326310
91342373010
10536980680
11256125595
1212ba00860
1387332562
145146094c
15322205c0
hex2001acc8

536980680 has 96 divisors (see below), whose sum is σ = 1756085760. Its totient is φ = 142300800.

The previous prime is 536980673. The next prime is 536980681. The reversal of 536980680 is 86089635.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (536980681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54105 + ... + 63255.

It is an arithmetic number, because the mean of its divisors is an integer number (18292560).

Almost surely, 2536980680 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 536980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878042880).

536980680 is an abundant number, since it is smaller than the sum of its proper divisors (1219105080).

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

536980680 is a wasteful number, since it uses less digits than its factorization.

536980680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 536980680 is about 23172.8435889944. The cubic root of 536980680 is about 812.8047260934.

The spelling of 536980680 in words is "five hundred thirty-six million, nine hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9151 9780 11736 14670 18302 19560 27453 29340 36604 45755 54906 58680 73208 82359 91510 109812 137265 164718 183020 219624 274530 329436 366040 411795 549060 658872 823590 1098120 1491613 1647180 2983226 3294360 4474839 5966452 7458065 8949678 11932904 13424517 14916130 17899356 22374195 26849034 29832260 35798712 44748390 53698068 59664520 67122585 89496780 107396136 134245170 178993560 268490340 536980680