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1118920960 = 2851751421
BaseRepresentation
bin100001010110001…
…0110000100000000
32212222110002000001
41002230112010000
54242420432320
6303010205344
736504446143
oct10254260400
92788402001
101118920960
11524668973
12272883854
1314aa76c11
14a886605a
156837220a
hex42b16100

1118920960 has 72 divisors (see below), whose sum is σ = 2837877336. Its totient is φ = 421232640.

The previous prime is 1118920939. The next prime is 1118920967. The reversal of 1118920960 is 690298111.

It can be written as a sum of positive squares in 4 ways, for example, as 281165824 + 837755136 = 16768^2 + 28944^2 .

It is a super-2 number, since 2×11189209602 = 2503968229454643200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1118920967) 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, 3951 + ... + 47470.

It is an arithmetic number, because the mean of its divisors is an integer number (39414963).

Almost surely, 21118920960 is an apocalyptic number.

1118920960 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 1118920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418938668).

1118920960 is an abundant number, since it is smaller than the sum of its proper divisors (1718956376).

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

1118920960 is an equidigital number, since it uses as much as digits as its factorization.

1118920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51459 (or 51445 counting only the distinct ones).

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

The square root of 1118920960 is about 33450.2759330921. The cubic root of 1118920960 is about 1038.1652067313.

The spelling of 1118920960 in words is "one billion, one hundred eighteen million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 51421 102842 205684 257105 411368 514210 822736 874157 1028420 1645472 1748314 2056840 3290944 3496628 4113680 4370785 6581888 6993256 8227360 8741570 13163776 13986512 16454720 17483140 27973024 32909440 34966280 55946048 65818880 69932560 111892096 139865120 223784192 279730240 559460480 1118920960