Search a number
-
+
1040646060 = 2232534716661
BaseRepresentation
bin111110000001101…
…111111110101100
32200112011022000200
4332001233332230
54112401133220
6251132353500
734534226346
oct7601577654
92615138020
101040646060
11494465873
12250615890
1313779bacc
149c2cc296
156155e890
hex3e06ffac

1040646060 has 72 divisors (see below), whose sum is σ = 3165913296. Its totient is φ = 276689280.

The previous prime is 1040646029. The next prime is 1040646067. The reversal of 1040646060 is 606460401.

1040646060 is a `hidden beast` number, since 10 + 4 + 0 + 646 + 0 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1040646067) 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, 54130 + ... + 70790.

It is an arithmetic number, because the mean of its divisors is an integer number (43971018).

Almost surely, 21040646060 is an apocalyptic number.

1040646060 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 1040646060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582956648).

1040646060 is an abundant number, since it is smaller than the sum of its proper divisors (2125267236).

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

1040646060 is a wasteful number, since it uses less digits than its factorization.

1040646060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023 (or 17018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1040646060 is about 32259.0461731279. The cubic root of 1040646060 is about 1013.3691558300.

The spelling of 1040646060 in words is "one billion, forty million, six hundred forty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 10410 12492 15615 16661 20820 31230 33322 49983 62460 66644 83305 99966 149949 166610 199932 249915 299898 333220 499830 599796 749745 999660 1499490 2998980 5781367 11562734 17344101 23125468 28906835 34688202 52032303 57813670 69376404 86720505 104064606 115627340 173441010 208129212 260161515 346882020 520323030 1040646060