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1001490120 = 233255352489
BaseRepresentation
bin111011101100011…
…000011011001000
32120210110222011200
4323230120123020
54022340140440
6243213224200
733550345161
oct7354303310
92523428150
101001490120
11474351394
1223b492060
1312c63c507
1497018768
155cdc7c30
hex3bb186c8

1001490120 has 96 divisors (see below), whose sum is σ = 3316318200. Its totient is φ = 262020096.

The previous prime is 1001490109. The next prime is 1001490121. The reversal of 1001490120 is 210941001.

1001490120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 742344516 + 259145604 = 27246^2 + 16098^2 .

It is a super-2 number, since 2×10014901202 = 2005964920915228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001490093 and 1001490102.

It is not an unprimeable number, because it can be changed into a prime (1001490121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7165 + ... + 45324.

Almost surely, 21001490120 is an apocalyptic number.

1001490120 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 1001490120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658159100).

1001490120 is an abundant number, since it is smaller than the sum of its proper divisors (2314828080).

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

1001490120 is a wasteful number, since it uses less digits than its factorization.

1001490120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52559 (or 52552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1001490120 is about 31646.3286970227. The cubic root of 1001490120 is about 1000.4964601532.

The spelling of 1001490120 in words is "one billion, one million, four hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 52489 104978 157467 209956 262445 314934 419912 472401 524890 629868 787335 944802 1049780 1259736 1574670 1889604 2099560 2362005 2781917 3149340 3779208 4724010 5563834 6298680 8345751 9448020 11127668 13909585 16691502 18896040 22255336 25037253 27819170 33383004 41728755 50074506 55638340 66766008 83457510 100149012 111276680 125186265 166915020 200298024 250372530 333830040 500745060 1001490120