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1137986200 = 235213437687
BaseRepresentation
bin100001111010100…
…0100101010011000
32221022022200121001
41003311010222120
54312311024300
6304530554344
740125503011
oct10365045230
92838280531
101137986200
115343aa96a
122791389b4
131519c0a20
14ab1ca008
1569d8b16a
hex43d44a98

1137986200 has 48 divisors (see below), whose sum is σ = 2849348880. Its totient is φ = 420178560.

The previous prime is 1137986197. The next prime is 1137986233. The reversal of 1137986200 is 26897311.

It is a self number, because there is not a number n which added to its sum of digits gives 1137986200.

It is a congruent number.

It is an unprimeable number.

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, 216244 + ... + 221443.

It is an arithmetic number, because the mean of its divisors is an integer number (59361435).

Almost surely, 21137986200 is an apocalyptic number.

1137986200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137986200 is an abundant number, since it is smaller than the sum of its proper divisors (1711362680).

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

1137986200 is a wasteful number, since it uses less digits than its factorization.

1137986200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437716 (or 437707 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1137986200 is about 33734.0510463834. The cubic root of 1137986200 is about 1044.0284461551.

Subtracting from 1137986200 its reverse (26897311), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 11379 and 86200, that added together give a palindrome (97579).

The spelling of 1137986200 in words is "one billion, one hundred thirty-seven million, nine hundred eighty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 437687 875374 1750748 2188435 3501496 4376870 5689931 8753740 10942175 11379862 17507480 21884350 22759724 28449655 43768700 45519448 56899310 87537400 113798620 142248275 227597240 284496550 568993100 1137986200