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80716440 = 23357307313
BaseRepresentation
bin1001100111110…
…10001010011000
312121212211010210
410303322022120
5131130411230
612002011120
72000035620
oct463721230
9177784123
1080716440
1141620502
1223046aa0
131395150c
14aa11880
157145eb0
hex4cfa298

80716440 has 128 divisors (see below), whose sum is σ = 278530560. Its totient is φ = 18330624.

The previous prime is 80716439. The next prime is 80716451. The reversal of 80716440 is 4461708.

It is a super-3 number, since 3×807164403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80716398 and 80716407.

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 31 ways as a sum of consecutive naturals, for example, 257724 + ... + 258036.

It is an arithmetic number, because the mean of its divisors is an integer number (2176020).

Almost surely, 280716440 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 80716440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139265280).

80716440 is an abundant number, since it is smaller than the sum of its proper divisors (197814120).

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

80716440 is a wasteful number, since it uses less digits than its factorization.

80716440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 80716440 is about 8984.2328553973. The cubic root of 80716440 is about 432.1693865929.

The spelling of 80716440 in words is "eighty million, seven hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 307 313 420 614 626 840 921 939 1228 1252 1535 1565 1842 1878 2149 2191 2456 2504 3070 3130 3684 3756 4298 4382 4605 4695 6140 6260 6447 6573 7368 7512 8596 8764 9210 9390 10745 10955 12280 12520 12894 13146 17192 17528 18420 18780 21490 21910 25788 26292 32235 32865 36840 37560 42980 43820 51576 52584 64470 65730 85960 87640 96091 128940 131460 192182 257880 262920 288273 384364 480455 576546 672637 768728 960910 1153092 1345274 1441365 1921820 2017911 2306184 2690548 2882730 3363185 3843640 4035822 5381096 5765460 6726370 8071644 10089555 11530920 13452740 16143288 20179110 26905480 40358220 80716440