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1069981120 = 26513318297
BaseRepresentation
bin111111110001101…
…001110111000000
32202120100200011101
4333301221313000
54142403343440
6254101224144
735341455325
oct7761516700
92676320141
101069981120
114a9a8171a
1225a402054
131408a0230
14a2166b4c
1563e0669a
hex3fc69dc0

1069981120 has 112 divisors (see below), whose sum is σ = 2832738048. Its totient is φ = 382279680.

The previous prime is 1069981117. The next prime is 1069981127. The reversal of 1069981120 is 211899601.

It is a super-2 number, since 2×10699811202 = 2289719194312908800, 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 1069981120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069981127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124812 + ... + 133108.

It is an arithmetic number, because the mean of its divisors is an integer number (25292304).

Almost surely, 21069981120 is an apocalyptic number.

1069981120 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 1069981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416369024).

1069981120 is an abundant number, since it is smaller than the sum of its proper divisors (1762756928).

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

1069981120 is a wasteful number, since it uses less digits than its factorization.

1069981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 1069981120 is about 32710.5658770985. The cubic root of 1069981120 is about 1022.8031059598.

It can be divided in two parts, 10699 and 81120, that added together give a palindrome (91819).

The spelling of 1069981120 in words is "one billion, sixty-nine million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 8060 8297 9920 12896 16120 16594 25792 32240 33188 41485 64480 66376 82970 107861 128960 132752 165940 215722 257207 265504 331880 431444 514414 531008 539305 663760 862888 1028828 1078610 1286035 1327520 1725776 2057656 2157220 2572070 2655040 3343691 3451552 4115312 4314440 5144140 6687382 6903104 8230624 8628880 10288280 13374764 16461248 16718455 17257760 20576560 26749528 33436910 34515520 41153120 53499056 66873820 82306240 106998112 133747640 213996224 267495280 534990560 1069981120