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83236480 = 275130057
BaseRepresentation
bin1001111011000…
…01011010000000
312210121211222121
410331201122000
5132302031410
612132014024
72030332645
oct475413200
9183554877
1083236480
1142a91888
1223a61314
1314324572
14b0a9dcc
1574929da
hex4f61680

83236480 has 32 divisors (see below), whose sum is σ = 198988740. Its totient is φ = 33294336.

The previous prime is 83236469. The next prime is 83236481. The reversal of 83236480 is 8463238.

It can be written as a sum of positive squares in 2 ways, for example, as 83028544 + 207936 = 9112^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (83236481) 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, 64389 + ... + 65668.

Almost surely, 283236480 is an apocalyptic number.

83236480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83236480 is an abundant number, since it is smaller than the sum of its proper divisors (115752260).

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

83236480 is a wasteful number, since it uses less digits than its factorization.

83236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130076 (or 130064 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 83236480 is about 9123.4028739281. The cubic root of 83236480 is about 436.6209484084.

The spelling of 83236480 in words is "eighty-three million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 130057 260114 520228 650285 1040456 1300570 2080912 2601140 4161824 5202280 8323648 10404560 16647296 20809120 41618240 83236480