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1125304400 = 245211298819
BaseRepresentation
bin100001100010010…
…1100100001010000
32220102110101102202
41003010230201100
54301034220100
6303355102332
736612633563
oct10304544120
92812411382
101125304400
11528228940
12274a419a8
1314c1a05bc
14a96484da
1568bd37d5
hex4312c850

1125304400 has 120 divisors (see below), whose sum is σ = 3051367200. Its totient is φ = 395046400.

The previous prime is 1125304357. The next prime is 1125304423. The reversal of 1125304400 is 44035211.

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

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, 123191 + ... + 132009.

It is an arithmetic number, because the mean of its divisors is an integer number (25428060).

Almost surely, 21125304400 is an apocalyptic number.

1125304400 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 1125304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525683600).

1125304400 is an abundant number, since it is smaller than the sum of its proper divisors (1926062800).

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

1125304400 is a wasteful number, since it uses less digits than its factorization.

1125304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1125304400 is about 33545.5570828687. The cubic root of 1125304400 is about 1040.1357071432.

Adding to 1125304400 its reverse (44035211), we get a palindrome (1169339611).

The spelling of 1125304400 in words is "one billion, one hundred twenty-five million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 8819 11600 12760 15950 17638 25520 31900 35276 44095 63800 70552 88190 97009 127600 141104 176380 194018 220475 255751 352760 388036 440950 485045 511502 705520 776072 881900 970090 1023004 1278755 1552144 1763800 1940180 2046008 2425225 2557510 2813261 3527600 3880360 4092016 4850450 5115020 5626522 6393775 7760720 9700900 10230040 11253044 12787550 14066305 19401800 20460080 22506088 25575100 28132610 38803600 45012176 51150200 56265220 70331525 102300400 112530440 140663050 225060880 281326100 562652200 1125304400