Search a number
-
+
1354000128 = 28313135617
BaseRepresentation
bin101000010110100…
…0110011100000000
310111100210022222220
41100231012130000
510233111001003
6342204531040
745360545145
oct12055063400
93440708886
101354000128
11635330378
12319550a80
13187694010
14cbb7a3cc
157dd0a353
hex50b46700

1354000128 has 72 divisors (see below), whose sum is σ = 3880844688. Its totient is φ = 416612352.

The previous prime is 1354000117. The next prime is 1354000129. The reversal of 1354000128 is 8210004531.

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 = 1354000098 and 1354000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57825 + ... + 77792.

Almost surely, 21354000128 is an apocalyptic number.

It is an amenable number.

1354000128 is an abundant number, since it is smaller than the sum of its proper divisors (2526844560).

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

1354000128 is a wasteful number, since it uses less digits than its factorization.

1354000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135649 (or 135635 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1354000128 is about 36796.7407252327. The cubic root of 1354000128 is about 1106.2999730242.

Adding to 1354000128 its reverse (8210004531), we get a palindrome (9564004659).

The spelling of 1354000128 in words is "one billion, three hundred fifty-four million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 135617 271234 406851 542468 813702 1084936 1627404 1763021 2169872 3254808 3526042 4339744 5289063 6509616 7052084 8679488 10578126 13019232 14104168 17358976 21156252 26038464 28208336 34717952 42312504 52076928 56416672 84625008 104153856 112833344 169250016 225666688 338500032 451333376 677000064 1354000128