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104220240 = 24352271913
BaseRepresentation
bin1100011011001…
…00011001010000
321021002221021220
412031210121100
5203140021430
614201445040
72403600045
oct615443120
9237087256
10104220240
1153914233
122aaa0780
13187906a7
14dbad1cc
15923a110
hex6364650

104220240 has 80 divisors (see below), whose sum is σ = 324675648. Its totient is φ = 27655168.

The previous prime is 104220227. The next prime is 104220253. The reversal of 104220240 is 42022401.

It is an interprime number because it is at equal distance from previous prime (104220227) and next prime (104220253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53524 + ... + 55436.

Almost surely, 2104220240 is an apocalyptic number.

104220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162337824).

104220240 is an abundant number, since it is smaller than the sum of its proper divisors (220455408).

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

104220240 is a wasteful number, since it uses less digits than its factorization.

104220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 104220240 is about 10208.8314708394. The cubic root of 104220240 is about 470.5986637150.

Adding to 104220240 its reverse (42022401), we get a palindrome (146242641).

The spelling of 104220240 in words is "one hundred four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 1913 2270 2724 3405 3632 3826 4540 5448 5739 6810 7652 9080 9565 10896 11478 13620 15304 18160 19130 22956 27240 28695 30608 38260 45912 54480 57390 76520 91824 114780 153040 229560 434251 459120 868502 1302753 1737004 2171255 2605506 3474008 4342510 5211012 6513765 6948016 8685020 10422024 13027530 17370040 20844048 26055060 34740080 52110120 104220240