Search a number
-
+
10128835400 = 2352192665483
BaseRepresentation
bin10010110111011100…
…11100001101001000
3222010220012011001212
421123232130031020
5131220440213100
64353024032252
7506000452235
oct113356341510
928126164055
1010128835400
114328510a52
121b68162688
13c555b8b38
146c12dc78c
153e435b635
hex25bb9c348

10128835400 has 48 divisors (see below), whose sum is σ = 24789001200. Its totient is φ = 3838294080.

The previous prime is 10128835397. The next prime is 10128835411. The reversal of 10128835400 is 453882101.

10128835400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1328942 + ... + 1336541.

It is an arithmetic number, because the mean of its divisors is an integer number (516437525).

Almost surely, 210128835400 is an apocalyptic number.

10128835400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128835400 is an abundant number, since it is smaller than the sum of its proper divisors (14660165800).

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

10128835400 is a wasteful number, since it uses less digits than its factorization.

10128835400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665518 (or 2665509 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 10128835400 in words is "ten billion, one hundred twenty-eight million, eight hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 2665483 5330966 10661932 13327415 21323864 26654830 50644177 53309660 66637075 101288354 106619320 133274150 202576708 253220885 266548300 405153416 506441770 533096600 1012883540 1266104425 2025767080 2532208850 5064417700 10128835400