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80410960 = 2457273281
BaseRepresentation
bin1001100101011…
…11100101010000
312121022022002201
410302233211100
5131041122320
611551252544
71664324200
oct462574520
9177268081
1080410960
1141431a43
1222b1a154
1313875466
14a972400
1570d570a
hex4caf950

80410960 has 120 divisors (see below), whose sum is σ = 221242536. Its totient is φ = 27095040.

The previous prime is 80410951. The next prime is 80410987. The reversal of 80410960 is 6901408.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 65480464 = 3864^2 + 8092^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286020 + ... + 286300.

Almost surely, 280410960 is an apocalyptic number.

80410960 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 80410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621268).

80410960 is an abundant number, since it is smaller than the sum of its proper divisors (140831576).

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

80410960 is a wasteful number, since it uses less digits than its factorization.

80410960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 80410960 is about 8967.2158443967. The cubic root of 80410960 is about 431.6235002692.

The spelling of 80410960 in words is "eighty million, four hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 73 80 98 112 140 146 196 245 280 281 292 365 392 490 511 560 562 584 730 784 980 1022 1124 1168 1405 1460 1960 1967 2044 2248 2555 2810 2920 3577 3920 3934 4088 4496 5110 5620 5840 7154 7868 8176 9835 10220 11240 13769 14308 15736 17885 19670 20440 20513 22480 27538 28616 31472 35770 39340 40880 41026 55076 57232 68845 71540 78680 82052 102565 110152 137690 143080 143591 157360 164104 205130 220304 275380 286160 287182 328208 410260 550760 574364 717955 820520 1005137 1101520 1148728 1435910 1641040 2010274 2297456 2871820 4020548 5025685 5743640 8041096 10051370 11487280 16082192 20102740 40205480 80410960