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402130128 = 243103163499
BaseRepresentation
bin10111111110000…
…000010011010000
31001000200022211110
4113332000103100
51310421131003
6103523013320
712652023021
oct2776002320
91030608743
10402130128
11196aa0354
12b280a240
136540902a
143b59ac48
1525484a03
hex17f804d0

402130128 has 80 divisors (see below), whose sum is σ = 1057472000. Its totient is φ = 131663232.

The previous prime is 402130093. The next prime is 402130139. The reversal of 402130128 is 821031204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805623 + ... + 806121.

It is an arithmetic number, because the mean of its divisors is an integer number (13218400).

Almost surely, 2402130128 is an apocalyptic number.

402130128 is a gapful number since it is divisible by the number (48) 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 402130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528736000).

402130128 is an abundant number, since it is smaller than the sum of its proper divisors (655341872).

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

402130128 is a wasteful number, since it uses less digits than its factorization.

402130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 402130128 is about 20053.1824905674. The cubic root of 402130128 is about 738.1118946678. Note that the first 3 decimals are identical.

The spelling of 402130128 in words is "four hundred two million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 163 206 309 326 412 489 499 618 652 824 978 998 1236 1304 1497 1648 1956 1996 2472 2608 2994 3912 3992 4944 5988 7824 7984 11976 16789 23952 33578 50367 51397 67156 81337 100734 102794 134312 154191 162674 201468 205588 244011 268624 308382 325348 402936 411176 488022 616764 650696 805872 822352 976044 1233528 1301392 1952088 2467056 3904176 8377711 16755422 25133133 33510844 50266266 67021688 100532532 134043376 201065064 402130128