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83414720 = 265260671
BaseRepresentation
bin1001111100011…
…00111011000000
312210221220111002
410332030323000
5132323232340
612135511132
72032004414
oct476147300
9183856432
1083414720
11430a3794
1223b284a8
131438772c
14b114d44
1574ca715
hex4f8cec0

83414720 has 28 divisors (see below), whose sum is σ = 198632064. Its totient is φ = 33365760.

The previous prime is 83414713. The next prime is 83414741. The reversal of 83414720 is 2741438.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 130016 + ... + 130655.

Almost surely, 283414720 is an apocalyptic number.

83414720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83414720 is an abundant number, since it is smaller than the sum of its proper divisors (115217344).

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

83414720 is a wasteful number, since it uses less digits than its factorization.

83414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260688 (or 260678 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 83414720 is about 9133.1659352056. The cubic root of 83414720 is about 436.9323817061.

The spelling of 83414720 in words is "eighty-three million, four hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 260671 521342 1042684 1303355 2085368 2606710 4170736 5213420 8341472 10426840 16682944 20853680 41707360 83414720