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1125870912 = 26322338389
BaseRepresentation
bin100001100011011…
…0110110101000000
32220110112011112200
41003012312311000
54301210332122
6303415153200
736620513325
oct10306666500
92813464480
101125870912
11528585531
12275075800
1314c33b40a
14a9754b4c
1568c965ac
hex431b6d40

1125870912 has 84 divisors (see below), whose sum is σ = 3241342260. Its totient is φ = 373635072.

The previous prime is 1125870901. The next prime is 1125870913. The reversal of 1125870912 is 2190785211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 615833856 + 510037056 = 24816^2 + 22584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125870913) 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 11 ways as a sum of consecutive naturals, for example, 130014 + ... + 138402.

Almost surely, 21125870912 is an apocalyptic number.

1125870912 is a gapful number since it is divisible by the number (12) 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 1125870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620671130).

1125870912 is an abundant number, since it is smaller than the sum of its proper divisors (2115471348).

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

1125870912 is a wasteful number, since it uses less digits than its factorization.

1125870912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1125870912 is about 33553.9999403946. Note that the first 4 decimals coincide. The cubic root of 1125870912 is about 1040.3102230358.

The spelling of 1125870912 in words is "one billion, one hundred twenty-five million, eight hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 8389 11184 14912 16776 16778 22368 25167 33552 33556 44736 50334 67104 67112 75501 100668 134208 134224 151002 201336 268448 302004 402672 536896 604008 805344 1208016 1610688 1954637 2416032 3909274 4832064 5863911 7818548 11727822 15637096 17591733 23455644 31274192 35183466 46911288 62548384 70366932 93822576 125096768 140733864 187645152 281467728 375290304 562935456 1125870912