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104106240 = 2832571291
BaseRepresentation
bin1100011010010…
…00100100000000
321020220010220200
412031020210000
5203122344430
614155205200
72402613510
oct615104400
9236803820
10104106240
1153846617
122aa46800
1318750834
14db7d840
159216460
hex6348900

104106240 has 216 divisors, whose sum is σ = 411972288. Its totient is φ = 23777280.

The previous prime is 104106217. The next prime is 104106241. The reversal of 104106240 is 42601401.

104106240 is a `hidden beast` number, since 1 + 0 + 41 + 0 + 624 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104106241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79995 + ... + 81285.

Almost surely, 2104106240 is an apocalyptic number.

104106240 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 104106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205986144).

104106240 is an abundant number, since it is smaller than the sum of its proper divisors (307866048).

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

104106240 is a wasteful number, since it uses less digits than its factorization.

104106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104106240 is about 10203.2465421551. The cubic root of 104106240 is about 470.4270149694.

Adding to 104106240 its reverse (42601401), we get a palindrome (146707641).

The spelling of 104106240 in words is "one hundred four million, one hundred six thousand, two hundred forty".