Search a number
-
+
2035211424 = 253190711117
BaseRepresentation
bin111100101001110…
…1101110010100000
312020211121110012220
41321103231302200
513132003231144
6533541351040
7101302004001
oct17123556240
95224543186
102035211424
11954907514
12489708480
1326585541c
141544231a8
15bda1a919
hex794edca0

2035211424 has 48 divisors (see below), whose sum is σ = 5345712288. Its totient is φ = 677987072.

The previous prime is 2035211401. The next prime is 2035211443. The reversal of 2035211424 is 4241125302.

2035211424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2035211394 and 2035211403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177514 + ... + 188630.

It is an arithmetic number, because the mean of its divisors is an integer number (111369006).

Almost surely, 22035211424 is an apocalyptic number.

2035211424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2035211424 is an abundant number, since it is smaller than the sum of its proper divisors (3310500864).

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

2035211424 is a wasteful number, since it uses less digits than its factorization.

2035211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2035211424 is about 45113.3175902637. The cubic root of 2035211424 is about 1267.2720132718.

Adding to 2035211424 its reverse (4241125302), we get a palindrome (6276336726).

The spelling of 2035211424 in words is "two billion, thirty-five million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1907 3814 5721 7628 11117 11442 15256 22234 22884 30512 33351 44468 45768 61024 66702 88936 91536 133404 177872 183072 266808 355744 533616 1067232 21200119 42400238 63600357 84800476 127200714 169600952 254401428 339201904 508802856 678403808 1017605712 2035211424