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281080128 = 2637283739
BaseRepresentation
bin10000110000001…
…111000101000000
3201120220100110010
4100300033011000
51033424031003
643520304520
76652066410
oct2060170500
9646810403
10281080128
1113473172a
127a172140
1346305204
142948a640
1519a23003
hex10c0f140

281080128 has 112 divisors (see below), whose sum is σ = 854090240. Its totient is φ = 79916544.

The previous prime is 281080117. The next prime is 281080141. The reversal of 281080128 is 821080182.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 281080095 and 281080104.

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, 379983 + ... + 380721.

Almost surely, 2281080128 is an apocalyptic number.

281080128 is a gapful number since it is divisible by the number (28) 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 281080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427045120).

281080128 is an abundant number, since it is smaller than the sum of its proper divisors (573010112).

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

281080128 is a wasteful number, since it uses less digits than its factorization.

281080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 281080128 is about 16765.4444617493. Note that the first 4 decimals coincide. The cubic root of 281080128 is about 655.0534136656.

The spelling of 281080128 in words is "two hundred eighty-one million, eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 283 336 448 566 672 739 849 1132 1344 1478 1698 1981 2217 2264 2956 3396 3962 4434 4528 5173 5912 5943 6792 7924 8868 9056 10346 11824 11886 13584 15519 15848 17736 18112 20692 23648 23772 27168 31038 31696 35472 41384 47296 47544 54336 62076 63392 70944 82768 95088 124152 126784 141888 165536 190176 209137 248304 331072 380352 418274 496608 627411 836548 993216 1254822 1463959 1673096 2509644 2927918 3346192 4391877 5019288 5855836 6692384 8783754 10038576 11711672 13384768 17567508 20077152 23423344 35135016 40154304 46846688 70270032 93693376 140540064 281080128