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1125533000 = 235367107157
BaseRepresentation
bin100001100010110…
…0100010101001000
32220102220000000102
41003011210111020
54301114024000
6303404024532
736614605214
oct10305442510
92812800012
101125533000
11528374669
12274b32148
1314c250677
14a96a7944
1568c2b3d5
hex43164548

1125533000 has 128 divisors (see below), whose sum is σ = 2715223680. Its totient is φ = 436550400.

The previous prime is 1125532981. The next prime is 1125533051. The reversal of 1125533000 is 3355211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7168922 + ... + 7169078.

It is an arithmetic number, because the mean of its divisors is an integer number (21212685).

Almost surely, 21125533000 is an apocalyptic number.

1125533000 is a gapful number since it is divisible by the number (10) 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 1125533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357611840).

1125533000 is an abundant number, since it is smaller than the sum of its proper divisors (1589690680).

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

1125533000 is a wasteful number, since it uses less digits than its factorization.

1125533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1125533000 is about 33548.9642165000. The cubic root of 1125533000 is about 1040.2061351754.

Adding to 1125533000 its reverse (3355211), we get a palindrome (1128888211).

The spelling of 1125533000 in words is "one billion, one hundred twenty-five million, five hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 107 125 134 157 200 214 250 268 314 335 428 500 535 536 628 670 785 856 1000 1070 1256 1340 1570 1675 2140 2675 2680 3140 3350 3925 4280 5350 6280 6700 7169 7850 8375 10519 10700 13375 13400 14338 15700 16750 16799 19625 21038 21400 26750 28676 31400 33500 33598 35845 39250 42076 52595 53500 57352 67000 67196 71690 78500 83995 84152 105190 107000 134392 143380 157000 167990 179225 210380 262975 286760 335980 358450 419975 420760 525950 671960 716900 839950 896125 1051900 1125533 1314875 1433800 1679900 1792250 2099875 2103800 2251066 2629750 3359800 3584500 4199750 4502132 5259500 5627665 7169000 8399500 9004264 10519000 11255330 16799000 22510660 28138325 45021320 56276650 112553300 140691625 225106600 281383250 562766500 1125533000