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1125725688 = 23352272551
BaseRepresentation
bin100001100011001…
…0011010111111000
32220110020210100000
41003012103113320
54301141210223
6303412113000
736616340043
oct10306232770
92813223300
101125725688
1152849640a
12275005760
1314c2ba299
14a9717c5a
1568c68543
hex431935f8

1125725688 has 96 divisors (see below), whose sum is σ = 3176933760. Its totient is φ = 373442400.

The previous prime is 1125725677. The next prime is 1125725693. The reversal of 1125725688 is 8865275211.

1125725688 is a `hidden beast` number, since 1 + 12 + 5 + 72 + 568 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 440013 + ... + 442563.

It is an arithmetic number, because the mean of its divisors is an integer number (33093060).

Almost surely, 21125725688 is an apocalyptic number.

1125725688 is a gapful number since it is divisible by the number (18) 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 1125725688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588466880).

1125725688 is an abundant number, since it is smaller than the sum of its proper divisors (2051208072).

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

1125725688 is a wasteful number, since it uses less digits than its factorization.

1125725688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2783 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 1125725688 is about 33551.8358365083. The cubic root of 1125725688 is about 1040.2654918840.

The spelling of 1125725688 in words is "one billion, one hundred twenty-five million, seven hundred twenty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 243 324 454 486 648 681 908 972 1362 1816 1944 2043 2551 2724 4086 5102 5448 6129 7653 8172 10204 12258 15306 16344 18387 20408 22959 24516 30612 36774 45918 49032 55161 61224 68877 73548 91836 110322 137754 147096 183672 206631 220644 275508 413262 441288 551016 579077 619893 826524 1158154 1239786 1653048 1737231 2316308 2479572 3474462 4632616 4959144 5211693 6948924 10423386 13897848 15635079 20846772 31270158 41693544 46905237 62540316 93810474 125080632 140715711 187620948 281431422 375241896 562862844 1125725688