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104880468 = 223711223509
BaseRepresentation
bin1100100000001…
…01100101010100
321022100110221210
412100011211110
5203322133333
614223541420
72412316650
oct620054524
9238313853
10104880468
1154225280
122b15a870
1318962064
14dd01a60
15931aa63
hex6405954

104880468 has 96 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 27066240.

The previous prime is 104880467. The next prime is 104880491. The reversal of 104880468 is 864088401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104880467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205798 + ... + 206306.

It is an arithmetic number, because the mean of its divisors is an integer number (3198720).

Almost surely, 2104880468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104880468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

104880468 is an abundant number, since it is smaller than the sum of its proper divisors (202196652).

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

104880468 is a wasteful number, since it uses less digits than its factorization.

104880468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 104880468 is about 10241.1165406903. The cubic root of 104880468 is about 471.5903092953.

The spelling of 104880468 in words is "one hundred four million, eight hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 223 231 308 446 462 509 669 892 924 1018 1338 1527 1561 2036 2453 2676 3054 3122 3563 4683 4906 5599 6108 6244 7126 7359 9366 9812 10689 11198 14252 14718 16797 17171 18732 21378 22396 29436 33594 34342 39193 42756 51513 67188 68684 78386 103026 113507 117579 156772 206052 227014 235158 340521 454028 470316 681042 794549 1248577 1362084 1589098 2383647 2497154 3178196 3745731 4767294 4994308 7491462 8740039 9534588 14982924 17480078 26220117 34960156 52440234 104880468