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1125230560 = 25531892549
BaseRepresentation
bin100001100010001…
…1010011111100000
32220102022122010221
41003010122133200
54301024334220
6303353332424
736612205366
oct10304323740
92812278127
101125230560
11528188413
12274a07114
1314c175acc
14a9629636
1568bbb9aa
hex4311a7e0

1125230560 has 96 divisors (see below), whose sum is σ = 2776032000. Its totient is φ = 430510080.

The previous prime is 1125230543. The next prime is 1125230563. The reversal of 1125230560 is 650325211.

It is a super-2 number, since 2×11252305602 = 2532287626315827200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125230563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440166 + ... + 442714.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 21125230560 is an apocalyptic number.

1125230560 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 1125230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016000).

1125230560 is an abundant number, since it is smaller than the sum of its proper divisors (1650801440).

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

1125230560 is a wasteful number, since it uses less digits than its factorization.

1125230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1125230560 is about 33544.4564719716. The cubic root of 1125230560 is about 1040.1129561730.

Adding to 1125230560 its reverse (650325211), we get a palindrome (1775555771).

The spelling of 1125230560 in words is "one billion, one hundred twenty-five million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 89 124 155 160 178 248 310 356 445 496 620 712 890 992 1240 1424 1780 2480 2549 2759 2848 3560 4960 5098 5518 7120 10196 11036 12745 13795 14240 20392 22072 25490 27590 40784 44144 50980 55180 79019 81568 88288 101960 110360 158038 203920 220720 226861 316076 395095 407840 441440 453722 632152 790190 907444 1134305 1264304 1580380 1814888 2268610 2528608 3160760 3629776 4537220 6321520 7032691 7259552 9074440 12643040 14065382 18148880 28130764 35163455 36297760 56261528 70326910 112523056 140653820 225046112 281307640 562615280 1125230560