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1125036252 = 2232311576421
BaseRepresentation
bin100001100001110…
…1011000011011100
32220101221202121100
41003003223003130
54301002130002
6303345233100
736610436034
oct10303530334
92811852540
101125036252
1152806542a
12274932790
1314c108532
14a95b88c4
1568b7e11c
hex430eb0dc

1125036252 has 72 divisors (see below), whose sum is σ = 2954736512. Its totient is φ = 360547200.

The previous prime is 1125036181. The next prime is 1125036257. The reversal of 1125036252 is 2526305211.

It is a happy number.

1125036252 is a `hidden beast` number, since 1 + 1 + 250 + 362 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125036257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172002 + ... + 178422.

Almost surely, 21125036252 is an apocalyptic number.

1125036252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125036252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477368256).

1125036252 is an abundant number, since it is smaller than the sum of its proper divisors (1829700260).

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

1125036252 is a wasteful number, since it uses less digits than its factorization.

1125036252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1125036252 is about 33541.5600710522. The cubic root of 1125036252 is about 1040.0530828428.

The spelling of 1125036252 in words is "one billion, one hundred twenty-five million, thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 279 314 372 471 558 628 942 1116 1413 1884 2826 4867 5652 6421 9734 12842 14601 19263 19468 25684 29202 38526 43803 57789 58404 77052 87606 115578 175212 199051 231156 398102 597153 796204 1008097 1194306 1791459 2016194 2388612 3024291 3582918 4032388 6048582 7165836 9072873 12097164 18145746 31251007 36291492 62502014 93753021 125004028 187506042 281259063 375012084 562518126 1125036252