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93304080 = 24325129589
BaseRepresentation
bin1011000111110…
…11010100010000
320111120100010200
411203323110100
5142341212310
613131455200
72212033362
oct543732420
9214510120
1093304080
1148738811
12272b7500
131643ab1c
14c56ad32
1582d09c0
hex58fb510

93304080 has 60 divisors (see below), whose sum is σ = 313348620. Its totient is φ = 24880896.

The previous prime is 93304061. The next prime is 93304093. The reversal of 93304080 is 8040339.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 65804544 = 5244^2 + 8112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 64075 + ... + 65514.

It is an arithmetic number, because the mean of its divisors is an integer number (5222477).

Almost surely, 293304080 is an apocalyptic number.

93304080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93304080 is an abundant number, since it is smaller than the sum of its proper divisors (220044540).

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

93304080 is a wasteful number, since it uses less digits than its factorization.

93304080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129608 (or 129599 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 93304080 is about 9659.4037083042. The cubic root of 93304080 is about 453.5587450699.

The spelling of 93304080 in words is "ninety-three million, three hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 129589 259178 388767 518356 647945 777534 1036712 1166301 1295890 1555068 1943835 2073424 2332602 2591780 3110136 3887670 4665204 5183560 5831505 6220272 7775340 9330408 10367120 11663010 15550680 18660816 23326020 31101360 46652040 93304080