Search a number
-
+
2148901128 = 2332112713259
BaseRepresentation
bin1000000000010101…
…1010000100001000
312112202112111011200
42000011122010020
513400104314003
6553122224200
7104152233603
oct20005320410
95482474150
102148901128
11a02aa9250
124bb7b5060
1328328003a
1416557933a
15c89c66a3
hex8015a108

2148901128 has 48 divisors (see below), whose sum is σ = 6349028400. Its totient is φ = 651181920.

The previous prime is 2148901093. The next prime is 2148901129. The reversal of 2148901128 is 8211098412.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2148901092 and 2148901101.

It is not an unprimeable number, because it can be changed into a prime (2148901129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1355838 + ... + 1357421.

It is an arithmetic number, because the mean of its divisors is an integer number (132271425).

Almost surely, 22148901128 is an apocalyptic number.

It is an amenable number.

2148901128 is an abundant number, since it is smaller than the sum of its proper divisors (4200127272).

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

2148901128 is a wasteful number, since it uses less digits than its factorization.

2148901128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713282 (or 2713275 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2148901128 is about 46356.2415215039. The cubic root of 2148901128 is about 1290.4429558682.

The spelling of 2148901128 in words is "two billion, one hundred forty-eight million, nine hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2713259 5426518 8139777 10853036 16279554 21706072 24419331 29845849 32559108 48838662 59691698 65118216 89537547 97677324 119383396 179075094 195354648 238766792 268612641 358150188 537225282 716300376 1074450564 2148901128