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104990240 = 2551733793
BaseRepresentation
bin1100100001000…
…00011000100000
321022120001112102
412100200120200
5203334141430
614230145532
72413254665
oct620403040
9238501472
10104990240
115429a7a3
122b1b22a8
13189a0004
14dd2da6c
15933d345
hex6420620

104990240 has 48 divisors (see below), whose sum is σ = 249538968. Its totient is φ = 41742336.

The previous prime is 104990227. The next prime is 104990267. The reversal of 104990240 is 42099401.

It can be written as a sum of positive squares in 4 ways, for example, as 89340304 + 15649936 = 9452^2 + 3956^2 .

It is a super-2 number, since 2×1049902402 = 22045900990515200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25784 + ... + 29576.

Almost surely, 2104990240 is an apocalyptic number.

104990240 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 104990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124769484).

104990240 is an abundant number, since it is smaller than the sum of its proper divisors (144548728).

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

104990240 is a wasteful number, since it uses less digits than its factorization.

104990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 104990240 is about 10246.4745156566. The cubic root of 104990240 is about 471.7547802158.

The spelling of 104990240 in words is "one hundred four million, nine hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 3793 5536 6920 7586 13840 15172 18965 27680 30344 37930 60688 75860 121376 151720 303440 606880 656189 1312378 2624756 3280945 5249512 6561890 10499024 13123780 20998048 26247560 52495120 104990240