Search a number
-
+
104998544 = 2471735419
BaseRepresentation
bin1100100001000…
…10011010010000
321022120110220222
412100202122100
5203334423134
614230252212
72413321130
oct620423220
9238513828
10104998544
11542a5a62
122b1b7068
13189a3a21
14dd32ac0
159340a2e
hex6422690

104998544 has 40 divisors (see below), whose sum is σ = 233883840. Its totient is φ = 44731008.

The previous prime is 104998529. The next prime is 104998547. The reversal of 104998544 is 445899401.

It is a super-3 number, since 3×1049985443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 104998495 and 104998504.

It is not an unprimeable number, because it can be changed into a prime (104998547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16667 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (5847096).

Almost surely, 2104998544 is an apocalyptic number.

104998544 is a gapful number since it is divisible by the number (14) 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 104998544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116941920).

104998544 is an abundant number, since it is smaller than the sum of its proper divisors (128885296).

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

104998544 is a wasteful number, since it uses less digits than its factorization.

104998544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 104998544 is about 10246.8797201880. The cubic root of 104998544 is about 471.7672173986.

The spelling of 104998544 in words is "one hundred four million, nine hundred ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 5419 9688 10838 19376 21676 37933 43352 75866 86704 151732 303464 606928 937487 1874974 3749948 6562409 7499896 13124818 14999792 26249636 52499272 104998544