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1127075840 = 2125115003
BaseRepresentation
bin100001100101101…
…1101000000000000
32220112210101101122
41003023131000000
54302012411330
6303501051412
736633662252
oct10313350000
92815711348
101127075840
11529228840
12275556b68
1314c6709a7
14a9989cd2
1568e335e5
hex432dd000

1127075840 has 104 divisors (see below), whose sum is σ = 2951119008. Its totient is φ = 409763840.

The previous prime is 1127075791. The next prime is 1127075849. The reversal of 1127075840 is 485707211.

It is a super-2 number, since 2×11270758402 = 2540599898223411200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1127075840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127075849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222779 + ... + 227781.

Almost surely, 21127075840 is an apocalyptic number.

1127075840 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 1127075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475559504).

1127075840 is an abundant number, since it is smaller than the sum of its proper divisors (1824043168).

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

1127075840 is an equidigital number, since it uses as much as digits as its factorization.

1127075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 1127075840 is about 33571.9501965555. The cubic root of 1127075840 is about 1040.6812105075.

The spelling of 1127075840 in words is "one billion, one hundred twenty-seven million, seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5003 5120 5632 7040 10006 10240 11264 14080 20012 20480 22528 25015 28160 40024 45056 50030 55033 56320 80048 100060 110066 112640 160096 200120 220132 225280 275165 320192 400240 440264 550330 640384 800480 880528 1100660 1280768 1600960 1761056 2201320 2561536 3201920 3522112 4402640 5123072 6403840 7044224 8805280 10246144 12807680 14088448 17610560 20492288 25615360 28176896 35221120 51230720 56353792 70442240 102461440 112707584 140884480 225415168 281768960 563537920 1127075840