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80382680 = 23571072683
BaseRepresentation
bin1001100101010…
…00101011011000
312121020212022022
410302220223120
5131034221210
611550514012
71664145560
oct462505330
9177225268
1080382680
1141412774
1222b05908
1313865621
14a965da0
1570cc155
hex4ca8ad8

80382680 has 64 divisors (see below), whose sum is σ = 208707840. Its totient is φ = 27292032.

The previous prime is 80382637. The next prime is 80382697. The reversal of 80382680 is 8628308.

It is a super-2 number, since 2×803826802 = 12922750487964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 80382680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28619 + ... + 31301.

It is an arithmetic number, because the mean of its divisors is an integer number (3261060).

Almost surely, 280382680 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 80382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104353920).

80382680 is an abundant number, since it is smaller than the sum of its proper divisors (128325160).

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

80382680 is a wasteful number, since it uses less digits than its factorization.

80382680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 80382680 is about 8965.6388506341. The cubic root of 80382680 is about 431.5728946311.

The spelling of 80382680 in words is "eighty million, three hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2683 2996 3745 4280 5366 5992 7490 10732 13415 14980 18781 21464 26830 29960 37562 53660 75124 93905 107320 150248 187810 287081 375620 574162 751240 1148324 1435405 2009567 2296648 2870810 4019134 5741620 8038268 10047835 11483240 16076536 20095670 40191340 80382680