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80018064 = 2433747563
BaseRepresentation
bin1001100010011…
…11101010010000
312120120100011000
410301033222100
5130441034224
611535022000
71661066550
oct461175220
9176510130
1080018064
1141193835
122296a900
1313768689
14a8ad160
1570590c9
hex4c4fa90

80018064 has 160 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 22336128.

The previous prime is 80018053. The next prime is 80018069. The reversal of 80018064 is 46081008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80018069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141847 + ... + 142409.

It is an arithmetic number, because the mean of its divisors is an integer number (1678464).

Almost surely, 280018064 is an apocalyptic number.

80018064 is a gapful number since it is divisible by the number (84) 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 80018064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

80018064 is an abundant number, since it is smaller than the sum of its proper divisors (188536176).

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

80018064 is a wasteful number, since it uses less digits than its factorization.

80018064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80018064 is about 8945.2816613006. The cubic root of 80018064 is about 430.9193669892.

The spelling of 80018064 in words is "eighty million, eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 563 564 658 752 756 846 987 1008 1126 1128 1269 1316 1512 1689 1692 1974 2252 2256 2538 2632 2961 3024 3378 3384 3941 3948 4504 5067 5076 5264 5922 6756 6768 7882 7896 8883 9008 10134 10152 11823 11844 13512 15201 15764 15792 17766 20268 20304 23646 23688 26461 27024 30402 31528 35469 35532 40536 47292 47376 52922 60804 63056 70938 71064 79383 81072 94584 105844 106407 121608 141876 142128 158766 185227 189168 211688 212814 238149 243216 283752 317532 370454 423376 425628 476298 555681 567504 635064 714447 740908 851256 952596 1111362 1270128 1428894 1481816 1667043 1702512 1905192 2222724 2857788 2963632 3334086 3810384 4445448 5001129 5715576 6668172 8890896 10002258 11431152 13336344 20004516 26672688 40009032 80018064