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104220480 = 26357131193
BaseRepresentation
bin1100011011001…
…00011101000000
321021002221121210
412031210131000
5203140023410
614201450120
72403600540
oct615443500
9237087553
10104220480
1153914431
122aaa0940
1318790830
14dbad320
15923a220
hex6364740

104220480 has 224 divisors, whose sum is σ = 407602944. Its totient is φ = 21970944.

The previous prime is 104220463. The next prime is 104220509. The reversal of 104220480 is 84022401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 86764 + ... + 87956.

It is an arithmetic number, because the mean of its divisors is an integer number (1819656).

Almost surely, 2104220480 is an apocalyptic number.

104220480 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 104220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203801472).

104220480 is an abundant number, since it is smaller than the sum of its proper divisors (303382464).

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

104220480 is a wasteful number, since it uses less digits than its factorization.

104220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 104220480 is about 10208.8432253610. The cubic root of 104220480 is about 470.5990249487.

Adding to 104220480 its reverse (84022401), we get a palindrome (188242881).

The spelling of 104220480 in words is "one hundred four million, two hundred twenty thousand, four hundred eighty".