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104426880 = 2735137397
BaseRepresentation
bin1100011100101…
…10110110000000
321021111102202020
412032112312000
5203213130010
614210121440
72405420355
oct616266600
9237442666
10104426880
1153a45508
122ab80280
131883376c
14dc2462c
15927b470
hex6396d80

104426880 has 128 divisors (see below), whose sum is σ = 336134880. Its totient is φ = 27574272.

The previous prime is 104426867. The next prime is 104426891. The reversal of 104426880 is 88624401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262842 + ... + 263238.

Almost surely, 2104426880 is an apocalyptic number.

104426880 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 104426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168067440).

104426880 is an abundant number, since it is smaller than the sum of its proper divisors (231708000).

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

104426880 is a wasteful number, since it uses less digits than its factorization.

104426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104426880 is about 10218.9471081907. The cubic root of 104426880 is about 470.9094808489.

The spelling of 104426880 in words is "one hundred four million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 274 320 384 397 411 480 548 640 685 794 822 960 1096 1191 1370 1588 1644 1920 1985 2055 2192 2382 2740 3176 3288 3970 4110 4384 4764 5480 5955 6352 6576 7940 8220 8768 9528 10960 11910 12704 13152 15880 16440 17536 19056 21920 23820 25408 26304 31760 32880 38112 43840 47640 50816 52608 54389 63520 65760 76224 87680 95280 108778 127040 131520 152448 163167 190560 217556 254080 263040 271945 326334 381120 435112 543890 652668 762240 815835 870224 1087780 1305336 1631670 1740448 2175560 2610672 3263340 3480896 4351120 5221344 6526680 6961792 8702240 10442688 13053360 17404480 20885376 26106720 34808960 52213440 104426880