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1050106060 = 2251926910273
BaseRepresentation
bin111110100101110…
…101100011001100
32201011221220201001
4332211311203030
54122311343220
6252111230044
735010516463
oct7645654314
92634856631
101050106060
11499837253
12253818324
13139731943
149d6719da
15622cc80a
hex3e9758cc

1050106060 has 48 divisors (see below), whose sum is σ = 2330143200. Its totient is φ = 396417024.

The previous prime is 1050106051. The next prime is 1050106061. The reversal of 1050106060 is 606010501.

It is a super-2 number, since 2×10501060602 = 2205445474497447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1050106061) 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, 97084 + ... + 107356.

It is an arithmetic number, because the mean of its divisors is an integer number (48544650).

Almost surely, 21050106060 is an apocalyptic number.

1050106060 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 1050106060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165071600).

1050106060 is an abundant number, since it is smaller than the sum of its proper divisors (1280037140).

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

1050106060 is a wasteful number, since it uses less digits than its factorization.

1050106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1050106060 is about 32405.3399920445. The cubic root of 1050106060 is about 1016.4305775667.

Adding to 1050106060 its reverse (606010501), we get a palindrome (1656116561).

The spelling of 1050106060 in words is "one billion, fifty million, one hundred six thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 269 380 538 1076 1345 2690 5111 5380 10222 10273 20444 20546 25555 41092 51110 51365 102220 102730 195187 205460 390374 780748 975935 1951870 2763437 3903740 5526874 11053748 13817185 27634370 52505303 55268740 105010606 210021212 262526515 525053030 1050106060