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1125218340 = 2232516338351
BaseRepresentation
bin100001100010001…
…0111100000100100
32220102022000101100
41003010113200210
54301023441330
6303353200100
736612124641
oct10304274044
92812260340
101125218340
1152817a214
12274a00030
1314c17038c
14a9624dc8
1568bb8060
hex43117824

1125218340 has 72 divisors (see below), whose sum is σ = 3434191488. Its totient is φ = 298209600.

The previous prime is 1125218273. The next prime is 1125218363. The reversal of 1125218340 is 438125211.

It is a super-2 number, since 2×11252183402 = 2532232625344711200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10165 + ... + 48515.

It is an arithmetic number, because the mean of its divisors is an integer number (47697104).

Almost surely, 21125218340 is an apocalyptic number.

1125218340 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 1125218340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717095744).

1125218340 is an abundant number, since it is smaller than the sum of its proper divisors (2308973148).

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

1125218340 is a wasteful number, since it uses less digits than its factorization.

1125218340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38529 (or 38524 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1125218340 is about 33544.2743251363. The cubic root of 1125218340 is about 1040.1091909517.

It can be divided in two parts, 11252 and 18340, that added together give a palindrome (29592).

The spelling of 1125218340 in words is "one billion, one hundred twenty-five million, two hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 7335 9780 14670 29340 38351 76702 115053 153404 191755 230106 345159 383510 460212 575265 690318 767020 1150530 1380636 1725795 2301060 3451590 6251213 6903180 12502426 18753639 25004852 31256065 37507278 56260917 62512130 75014556 93768195 112521834 125024260 187536390 225043668 281304585 375072780 562609170 1125218340