Search a number
-
+
5410972128 = 253315930817
BaseRepresentation
bin1010000101000010…
…01110000111100000
3111222002200212100010
411002201032013200
542040202102003
62252531524520
7251042334642
oct50241160740
914862625303
105410972128
1123273974a1
121070159740
13683042373
143948c0892
1521a086003
hex14284e1e0

5410972128 has 96 divisors (see below), whose sum is σ = 14910981120. Its totient is φ = 1715834880.

The previous prime is 5410972079. The next prime is 5410972129. The reversal of 5410972128 is 8212790145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410972129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160176 + ... + 190992.

It is an arithmetic number, because the mean of its divisors is an integer number (155322720).

Almost surely, 25410972128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5410972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455490560).

5410972128 is an abundant number, since it is smaller than the sum of its proper divisors (9500008992).

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

5410972128 is a wasteful number, since it uses less digits than its factorization.

5410972128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920 (or 30912 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5410972128 is about 73559.3102740911. The cubic root of 5410972128 is about 1755.5980870775.

The spelling of 5410972128 in words is "five billion, four hundred ten million, nine hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 93 96 118 124 177 186 236 248 354 372 472 496 708 744 944 992 1416 1488 1829 1888 2832 2976 3658 5487 5664 7316 10974 14632 21948 29264 30817 43896 58528 61634 87792 92451 123268 175584 184902 246536 369804 493072 739608 955327 986144 1479216 1818203 1910654 2865981 2958432 3636406 3821308 5454609 5731962 7272812 7642616 10909218 11463924 14545624 15285232 21818436 22927848 29091248 30570464 43636872 45855696 56364293 58182496 87273744 91711392 112728586 169092879 174547488 225457172 338185758 450914344 676371516 901828688 1352743032 1803657376 2705486064 5410972128