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80100064 = 25112137151
BaseRepresentation
bin1001100011000…
…11101011100000
312120201111122001
410301203223200
5131001200224
611540453344
71661560612
oct461435340
9176644561
1080100064
114123a400
12229aa254
1313796ab5
14a8d0db2
157073544
hex4c63ae0

80100064 has 72 divisors (see below), whose sum is σ = 175757904. Its totient is φ = 35904000.

The previous prime is 80100049. The next prime is 80100071. The reversal of 80100064 is 46000108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530389 + ... + 530539.

It is an arithmetic number, because the mean of its divisors is an integer number (2441082).

Almost surely, 280100064 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 80100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87878952).

80100064 is an abundant number, since it is smaller than the sum of its proper divisors (95657840).

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

80100064 is a wasteful number, since it uses less digits than its factorization.

80100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 80100064 is about 8949.8639095799. The cubic root of 80100064 is about 431.0665142832.

The spelling of 80100064 in words is "eighty million, one hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 137 151 176 242 274 302 352 484 548 604 968 1096 1208 1507 1661 1936 2192 2416 3014 3322 3872 4384 4832 6028 6644 12056 13288 16577 18271 20687 24112 26576 33154 36542 41374 48224 53152 66308 73084 82748 132616 146168 165496 227557 265232 292336 330992 455114 530464 584672 661984 910228 1820456 2503127 3640912 5006254 7281824 10012508 20025016 40050032 80100064