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93986320 = 2451174829
BaseRepresentation
bin1011001101000…
…01111000010000
320112211222222211
411212201320100
5143030030240
613154241504
72220604411
oct546417020
9215758884
1093986320
114906434a
1227586294
131661950c
14c6a7808
1583b7bea
hex59a1e10

93986320 has 20 divisors (see below), whose sum is σ = 218518380. Its totient is φ = 37594496.

The previous prime is 93986311. The next prime is 93986329. The reversal of 93986320 is 2368939.

It is an interprime number because it is at equal distance from previous prime (93986311) and next prime (93986329).

It can be written as a sum of positive squares in 2 ways, for example, as 61905424 + 32080896 = 7868^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (93986329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587335 + ... + 587494.

It is an arithmetic number, because the mean of its divisors is an integer number (10925919).

Almost surely, 293986320 is an apocalyptic number.

It is an amenable number.

93986320 is an abundant number, since it is smaller than the sum of its proper divisors (124532060).

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

93986320 is a wasteful number, since it uses less digits than its factorization.

93986320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174842 (or 1174836 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 93986320 is about 9694.6541970304. The cubic root of 93986320 is about 454.6615363162.

The spelling of 93986320 in words is "ninety-three million, nine hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1174829 2349658 4699316 5874145 9398632 11748290 18797264 23496580 46993160 93986320