Search a number
-
+
10835958940 = 2257119133989
BaseRepresentation
bin10100001011101111…
…11001110010011100
31000222011202202012121
422011313321302130
5134143001141230
64551124112324
7532345063012
oct120567716234
930864682177
1010835958940
114660686374
122124b356a4
131038c50731
1474b1ac8b2
1543648977a
hex285df9c9c

10835958940 has 48 divisors (see below), whose sum is σ = 23093864640. Its totient is φ = 4270031360.

The previous prime is 10835958929. The next prime is 10835959063. The reversal of 10835958940 is 4985953801.

It is a super-2 number, since 2×108359589402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714466 + ... + 2718454.

It is an arithmetic number, because the mean of its divisors is an integer number (481122180).

Almost surely, 210835958940 is an apocalyptic number.

10835958940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10835958940 is an abundant number, since it is smaller than the sum of its proper divisors (12257905700).

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

10835958940 is a wasteful number, since it uses less digits than its factorization.

10835958940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 10835958940 in words is "ten billion, eight hundred thirty-five million, nine hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 1913 3826 3989 7652 7978 9565 15956 19130 19945 38260 39890 79780 135823 271646 283219 543292 566438 679115 1132876 1358230 1416095 2716460 2832190 5664380 7630957 15261914 30523828 38154785 76309570 152619140 541797947 1083595894 2167191788 2708989735 5417979470 10835958940