Search a number
-
+
104221440 = 2832583109
BaseRepresentation
bin1100011011001…
…00101100000000
321021002222221100
412031210230000
5203140041230
614201454400
72403603411
oct615445400
9237088840
10104221440
1153915124
122aaa1400
13187910bb
14dbad808
15923a660
hex6364b00

104221440 has 216 divisors, whose sum is σ = 368287920. Its totient is φ = 27205632.

The previous prime is 104221417. The next prime is 104221459. The reversal of 104221440 is 44122401.

104221440 is a `hidden beast` number, since 1 + 0 + 4 + 221 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956106 + ... + 956214.

Almost surely, 2104221440 is an apocalyptic number.

104221440 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 104221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184143960).

104221440 is an abundant number, since it is smaller than the sum of its proper divisors (264066480).

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

104221440 is a wasteful number, since it uses less digits than its factorization.

104221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104221440 is about 10208.8902433124. The cubic root of 104221440 is about 470.6004698780.

Adding to 104221440 its reverse (44122401), we get a palindrome (148343841).

The spelling of 104221440 in words is "one hundred four million, two hundred twenty-one thousand, four hundred forty".