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80013312 = 211331447
BaseRepresentation
bin1001100010011…
…10100000000000
312120120002122000
410301032200000
5130440411222
611534544000
71661046651
oct461164000
9176502560
1080013312
1141190205
1222968000
1313766472
14a8ab528
1570579ac
hex4c4e800

80013312 has 96 divisors (see below), whose sum is σ = 237182400. Its totient is φ = 26652672.

The previous prime is 80013289. The next prime is 80013341. The reversal of 80013312 is 21331008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54573 + ... + 56019.

It is an arithmetic number, because the mean of its divisors is an integer number (2470650).

Almost surely, 280013312 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 80013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118591200).

80013312 is an abundant number, since it is smaller than the sum of its proper divisors (157169088).

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

80013312 is a wasteful number, since it uses less digits than its factorization.

80013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 80013312 is about 8945.0160424674. The cubic root of 80013312 is about 430.9108365430.

The spelling of 80013312 in words is "eighty million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1447 1536 1728 2048 2304 2894 3072 3456 4341 4608 5788 6144 6912 8682 9216 11576 13023 13824 17364 18432 23152 26046 27648 34728 39069 46304 52092 55296 69456 78138 92608 104184 138912 156276 185216 208368 277824 312552 370432 416736 555648 625104 740864 833472 1111296 1250208 1481728 1666944 2222592 2500416 2963456 3333888 4445184 5000832 6667776 8890368 10001664 13335552 20003328 26671104 40006656 80013312