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1061409780 = 223257380777
BaseRepresentation
bin111111010000111…
…101001111110100
32201222020012111100
4333100331033310
54133210103110
6253153410100
735205556104
oct7720751764
92658205440
101061409780
114a5157972
12257569930
1313bb8ba32
14a0d75204
15632b1bc0
hex3f43d3f4

1061409780 has 72 divisors (see below), whose sum is σ = 3263754312. Its totient is φ = 279161856.

The previous prime is 1061409737. The next prime is 1061409781. The reversal of 1061409780 is 879041601.

It can be written as a sum of positive squares in 4 ways, for example, as 450627984 + 610781796 = 21228^2 + 24714^2 .

It is a super-2 number, since 2×10614097802 = 2253181442159296800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061409781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27249 + ... + 53528.

It is an arithmetic number, because the mean of its divisors is an integer number (45329921).

Almost surely, 21061409780 is an apocalyptic number.

1061409780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061409780 is an abundant number, since it is smaller than the sum of its proper divisors (2202344532).

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

1061409780 is a wasteful number, since it uses less digits than its factorization.

1061409780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80865 (or 80860 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1061409780 is about 32579.2845225306. The cubic root of 1061409780 is about 1020.0646441152.

The spelling of 1061409780 in words is "one billion, sixty-one million, four hundred nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 80777 161554 242331 323108 403885 484662 726993 807770 969324 1211655 1453986 1615540 2423310 2907972 3634965 4846620 5896721 7269930 11793442 14539860 17690163 23586884 29483605 35380326 53070489 58967210 70760652 88450815 106140978 117934420 176901630 212281956 265352445 353803260 530704890 1061409780