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1121079492 = 2232137133739
BaseRepresentation
bin100001011010010…
…0101000011000100
32220010111201221200
41002310211003010
54243444020432
6303124342500
736532006221
oct10264450304
92803451850
101121079492
11525902685
12273544a30
1314b351560
14a8c68948
156864ba7c
hex42d250c4

1121079492 has 72 divisors (see below), whose sum is σ = 3094902720. Its totient is φ = 340079040.

The previous prime is 1121079481. The next prime is 1121079499. The reversal of 1121079492 is 2949701211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1121079499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16359 + ... + 50097.

It is an arithmetic number, because the mean of its divisors is an integer number (42984760).

Almost surely, 21121079492 is an apocalyptic number.

1121079492 is a gapful number since it is divisible by the number (12) 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 1121079492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547451360).

1121079492 is an abundant number, since it is smaller than the sum of its proper divisors (1973823228).

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

1121079492 is a wasteful number, since it uses less digits than its factorization.

1121079492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33833 (or 33828 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1121079492 is about 33482.5251735887. The cubic root of 1121079492 is about 1038.8323594157.

The spelling of 1121079492 in words is "one billion, one hundred twenty-one million, seventy-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 33739 67478 101217 134956 202434 303651 404868 438607 607302 877214 1214604 1315821 1754428 2395469 2631642 3947463 4790938 5263284 7186407 7894926 9581876 14372814 15789852 21559221 28745628 31141097 43118442 62282194 86236884 93423291 124564388 186846582 280269873 373693164 560539746 1121079492