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1125011400 = 233523116029
BaseRepresentation
bin100001100001110…
…0100111111001000
32220101220111111220
41003003210333020
54301000331100
6303344522040
736610303422
oct10303447710
92811814456
101125011400
11528048797
12274920320
1314c0ca126
14a95ad812
1568b76aa0
hex430e4fc8

1125011400 has 96 divisors (see below), whose sum is σ = 3499329600. Its totient is φ = 298988800.

The previous prime is 1125011387. The next prime is 1125011453. The reversal of 1125011400 is 41105211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1125011400.

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, 183586 + ... + 189614.

It is an arithmetic number, because the mean of its divisors is an integer number (36451350).

Almost surely, 21125011400 is an apocalyptic number.

1125011400 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 1125011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749664800).

1125011400 is an abundant number, since it is smaller than the sum of its proper divisors (2374318200).

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

1125011400 is a wasteful number, since it uses less digits than its factorization.

1125011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1125011400 is about 33541.1896032326. The cubic root of 1125011400 is about 1040.0454245445.

Adding to 1125011400 its reverse (41105211), we get a palindrome (1166116611).

The spelling of 1125011400 in words is "one billion, one hundred twenty-five million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 311 600 622 933 1244 1555 1866 2488 3110 3732 4665 6029 6220 7464 7775 9330 12058 12440 15550 18087 18660 23325 24116 30145 31100 36174 37320 46650 48232 60290 62200 72348 90435 93300 120580 144696 150725 180870 186600 241160 301450 361740 452175 602900 723480 904350 1205800 1808700 1875019 3617400 3750038 5625057 7500076 9375095 11250114 15000152 18750190 22500228 28125285 37500380 45000456 46875475 56250570 75000760 93750950 112501140 140626425 187501900 225002280 281252850 375003800 562505700 1125011400