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80561040 = 2435779607
BaseRepresentation
bin1001100110101…
…00001110010000
312121120220222020
410303110032100
5131110423130
611554411440
71665520560
oct463241620
9177526866
1080561040
114152477a
1222b90b80
13138c8871
14a9b0da0
157114e10
hex4cd4390

80561040 has 160 divisors (see below), whose sum is σ = 289505280. Its totient is φ = 18150912.

The previous prime is 80561003. The next prime is 80561057. The reversal of 80561040 is 4016508.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80561040.

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, 132417 + ... + 133023.

It is an arithmetic number, because the mean of its divisors is an integer number (1809408).

Almost surely, 280561040 is an apocalyptic number.

80561040 is a gapful number since it is divisible by the number (80) 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 80561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144752640).

80561040 is an abundant number, since it is smaller than the sum of its proper divisors (208944240).

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

80561040 is a wasteful number, since it uses less digits than its factorization.

80561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 80561040 is about 8975.5802040871. The cubic root of 80561040 is about 431.8918625082.

Adding to 80561040 its reverse (4016508), we get a palindrome (84577548).

The spelling of 80561040 in words is "eighty million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 607 632 790 840 948 1106 1185 1214 1264 1580 1659 1680 1821 1896 2212 2370 2428 2765 3035 3160 3318 3642 3792 4249 4424 4740 4856 5530 6070 6320 6636 7284 8295 8498 8848 9105 9480 9712 11060 12140 12747 13272 14568 16590 16996 18210 18960 21245 22120 24280 25494 26544 29136 33180 33992 36420 42490 44240 47953 48560 50988 63735 66360 67984 72840 84980 95906 101976 127470 132720 143859 145680 169960 191812 203952 239765 254940 287718 335671 339920 383624 479530 509880 575436 671342 719295 767248 959060 1007013 1019760 1150872 1342684 1438590 1678355 1918120 2014026 2301744 2685368 2877180 3356710 3836240 4028052 5035065 5370736 5754360 6713420 8056104 10070130 11508720 13426840 16112208 20140260 26853680 40280520 80561040