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1125433200 = 243521516211
BaseRepresentation
bin100001100010100…
…1011111101110000
32220102200221010010
41003011023331300
54301102330300
6303401534520
736614011233
oct10305137560
92812627103
101125433200
11528306691
12274aa4440
1314c217108
14a967d41a
1568c0ba50
hex4314bf70

1125433200 has 120 divisors (see below), whose sum is σ = 3629597056. Its totient is φ = 298080000.

The previous prime is 1125433187. The next prime is 1125433219. The reversal of 1125433200 is 23345211.

It is a tau number, because it is divible by the number of its divisors (120).

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, 178095 + ... + 184305.

Almost surely, 21125433200 is an apocalyptic number.

1125433200 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 1125433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814798528).

1125433200 is an abundant number, since it is smaller than the sum of its proper divisors (2504163856).

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

1125433200 is a wasteful number, since it uses less digits than its factorization.

1125433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1125433200 is about 33547.4768052681. The cubic root of 1125433200 is about 1040.1753895521.

Adding to 1125433200 its reverse (23345211), we get a palindrome (1148778411).

The spelling of 1125433200 in words is "one billion, one hundred twenty-five million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 151 200 240 300 302 400 453 600 604 755 906 1200 1208 1510 1812 2265 2416 3020 3624 3775 4530 6040 6211 7248 7550 9060 11325 12080 12422 15100 18120 18633 22650 24844 30200 31055 36240 37266 45300 49688 60400 62110 74532 90600 93165 99376 124220 149064 155275 181200 186330 248440 298128 310550 372660 465825 496880 621100 745320 931650 937861 1242200 1490640 1863300 1875722 2484400 2813583 3726600 3751444 4689305 5627166 7453200 7502888 9378610 11254332 14067915 15005776 18757220 22508664 23446525 28135830 37514440 45017328 46893050 56271660 70339575 75028880 93786100 112543320 140679150 187572200 225086640 281358300 375144400 562716600 1125433200