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1125875120 = 24529975003
BaseRepresentation
bin100001100011011…
…0111110110110000
32220110112101022112
41003012313312300
54301211000440
6303415224452
736620531516
oct10306676660
92813471275
101125875120
11528588707
12275078128
1314c3402c6
14a97564b6
1568c97965
hex431b7db0

1125875120 has 80 divisors (see below), whose sum is σ = 2736387360. Its totient is φ = 430252032.

The previous prime is 1125875053. The next prime is 1125875123. The reversal of 1125875120 is 215785211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1125875123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222539 + ... + 227541.

It is an arithmetic number, because the mean of its divisors is an integer number (34204842).

Almost surely, 21125875120 is an apocalyptic number.

1125875120 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 1125875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368193680).

1125875120 is an abundant number, since it is smaller than the sum of its proper divisors (1610512240).

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

1125875120 is a wasteful number, since it uses less digits than its factorization.

1125875120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The square root of 1125875120 is about 33554.0626452297. The cubic root of 1125875120 is about 1040.3115191050.

The spelling of 1125875120 in words is "one billion, one hundred twenty-five million, eight hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 97 116 145 194 232 290 388 464 485 580 776 970 1160 1552 1940 2320 2813 3880 5003 5626 7760 10006 11252 14065 20012 22504 25015 28130 40024 45008 50030 56260 80048 100060 112520 145087 200120 225040 290174 400240 485291 580348 725435 970582 1160696 1450870 1941164 2321392 2426455 2901740 3882328 4852910 5803480 7764656 9705820 11606960 14073439 19411640 28146878 38823280 56293756 70367195 112587512 140734390 225175024 281468780 562937560 1125875120