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1950489120 = 253519720627
BaseRepresentation
bin111010001000010…
…0001101000100000
312000221012010001210
41310100201220200
512443311122440
6521313430120
766222612126
oct16420415040
95027163053
101950489120
11911000388
1246526b340
13251130798
1414708b916
15b6382a80
hex74421a20

1950489120 has 96 divisors (see below), whose sum is σ = 6175528128. Its totient is φ = 517465088.

The previous prime is 1950489103. The next prime is 1950489131. The reversal of 1950489120 is 219840591.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84247 + ... + 104873.

It is an arithmetic number, because the mean of its divisors is an integer number (64328418).

Almost surely, 21950489120 is an apocalyptic number.

1950489120 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 1950489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087764064).

1950489120 is an abundant number, since it is smaller than the sum of its proper divisors (4225039008).

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

1950489120 is a wasteful number, since it uses less digits than its factorization.

1950489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 1950489120 is about 44164.3421778249. The cubic root of 1950489120 is about 1249.4374257795.

The spelling of 1950489120 in words is "one billion, nine hundred fifty million, four hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 20627 23640 31520 41254 47280 61881 82508 94560 103135 123762 165016 206270 247524 309405 330032 412540 495048 618810 660064 825080 990096 1237620 1650160 1980192 2475240 3300320 4063519 4950480 8127038 9900960 12190557 16254076 20317595 24381114 32508152 40635190 48762228 60952785 65016304 81270380 97524456 121905570 130032608 162540760 195048912 243811140 325081520 390097824 487622280 650163040 975244560 1950489120