Search a number
-
+
1128422464 = 26132172192
BaseRepresentation
bin100001101000010…
…0101110001000000
32220122022210121121
41003100211301000
54302334004324
6303550002024
736651301261
oct10320456100
92818283547
101128422464
11529a68554
12275aa6314
1314ca22900
14a9c1a968
15690ec5e4
hex43425c40

1128422464 has 189 divisors, whose sum is σ = 2718430047. Its totient is φ = 464375808.

The previous prime is 1128422443. The next prime is 1128422489. The reversal of 1128422464 is 4642248211.

The square root of 1128422464 is 33592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 1118233600 = 3192^2 + 33440^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59390647 + ... + 59390665.

Almost surely, 21128422464 is an apocalyptic number.

1128422464 is the 33592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128422464

1128422464 is an abundant number, since it is smaller than the sum of its proper divisors (1590007583).

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

1128422464 is a wasteful number, since it uses less digits than its factorization.

1128422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The cubic root of 1128422464 is about 1041.0955122738.

The spelling of 1128422464 in words is "one billion, one hundred twenty-eight million, four hundred twenty-two thousand, four hundred sixty-four".