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104214320 = 2457186097
BaseRepresentation
bin1100011011000…
…10111100110000
321021002122011122
412031202330300
5203134324240
614201401412
72403543560
oct615427460
9237078148
10104214320
115390a841
122aa99268
131878aaa2
14dbaada0
1592384b5
hex6362f30

104214320 has 40 divisors (see below), whose sum is σ = 276913824. Its totient is φ = 35730432.

The previous prime is 104214307. The next prime is 104214329. The reversal of 104214320 is 23412401.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (104214329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 92489 + ... + 93608.

Almost surely, 2104214320 is an apocalyptic number.

104214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104214320 is an abundant number, since it is smaller than the sum of its proper divisors (172699504).

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

104214320 is a wasteful number, since it uses less digits than its factorization.

104214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186117 (or 186111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104214320 is about 10208.5415216866. The cubic root of 104214320 is about 470.5897531078.

Adding to 104214320 its reverse (23412401), we get a palindrome (127626721).

It can be divided in two parts, 10421 and 4320, that added together give a palindrome (14741).

The spelling of 104214320 in words is "one hundred four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 186097 372194 744388 930485 1302679 1488776 1860970 2605358 2977552 3721940 5210716 6513395 7443880 10421432 13026790 14887760 20842864 26053580 52107160 104214320