Search a number
-
+
1125136628 = 227211677789
BaseRepresentation
bin100001100010000…
…0011100011110100
32220102010212021222
41003010003203310
54301013333003
6303351325512
736611334500
oct10304034364
92812125258
101125136628
11528123890
12274980898
1314c142125
14a9603300
1568b9dc38
hex431038f4

1125136628 has 72 divisors (see below), whose sum is σ = 2536299360. Its totient is φ = 431766720.

The previous prime is 1125136613. The next prime is 1125136633. The reversal of 1125136628 is 8266315211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140558 + ... + 148346.

It is an arithmetic number, because the mean of its divisors is an integer number (35226380).

Almost surely, 21125136628 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 1125136628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268149680).

1125136628 is an abundant number, since it is smaller than the sum of its proper divisors (1411162732).

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

1125136628 is a wasteful number, since it uses less digits than its factorization.

1125136628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7876 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 1125136628 is about 33543.0563306327. The cubic root of 1125136628 is about 1040.0840131835.

The spelling of 1125136628 in words is "one billion, one hundred twenty-five million, one hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 67 77 98 134 154 196 268 308 469 539 737 938 1078 1474 1876 2156 2948 3283 5159 6566 7789 10318 13132 15578 20636 31156 36113 54523 72226 85679 109046 144452 171358 218092 342716 381661 521863 599753 763322 1043726 1199506 1526644 2087452 2399012 3653041 4198271 5740493 7306082 8396542 11480986 14612164 16793084 22961972 25571287 40183451 51142574 80366902 102285148 160733804 281284157 562568314 1125136628