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1120275216 = 243243239757
BaseRepresentation
bin100001011000110…
…0000101100010000
32220001222212200200
41002301200230100
54243242301331
6303055215200
736522116334
oct10261405420
92801885620
101120275216
11525403395
12273217500
1314b12c458
14a8ad97c4
156853d5e6
hex42c60b10

1120275216 has 120 divisors (see below), whose sum is σ = 3225805440. Its totient is φ = 362734848.

The previous prime is 1120275161. The next prime is 1120275223. The reversal of 1120275216 is 6125720211.

1120275216 is a `hidden beast` number, since 112 + 0 + 27 + 521 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1120275216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479510 + ... + 1480266.

It is an arithmetic number, because the mean of its divisors is an integer number (26881712).

Almost surely, 21120275216 is an apocalyptic number.

1120275216 is a gapful number since it is divisible by the number (16) 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 1120275216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612902720).

1120275216 is an abundant number, since it is smaller than the sum of its proper divisors (2105530224).

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

1120275216 is a wasteful number, since it uses less digits than its factorization.

1120275216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1120275216 is about 33470.5126342576. The cubic root of 1120275216 is about 1038.5838763476.

Adding to 1120275216 its reverse (6125720211), we get a palindrome (7245995427).

The spelling of 1120275216 in words is "one billion, one hundred twenty million, two hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 239 258 344 387 478 516 688 717 757 774 956 1032 1434 1514 1548 1912 2064 2151 2271 2868 3028 3096 3824 4302 4542 5736 6056 6192 6813 8604 9084 10277 11472 12112 13626 17208 18168 20554 27252 30831 32551 34416 36336 41108 54504 61662 65102 82216 92493 97653 109008 123324 130204 164432 180923 184986 195306 246648 260408 292959 361846 369972 390612 493296 520816 542769 585918 723692 739944 781224 1085538 1171836 1447384 1479888 1562448 1628307 2171076 2343672 2894768 3256614 4342152 4687344 6513228 7779689 8684304 13026456 15559378 23339067 26052912 31118756 46678134 62237512 70017201 93356268 124475024 140034402 186712536 280068804 373425072 560137608 1120275216