Search a number
-
+
1010020544 = 261319181353
BaseRepresentation
bin111100001100111…
…011000011000000
32121101112100201022
4330030323003000
54032031124134
6244120125012
734013014211
oct7414730300
92541470638
101010020544
11479148425
12242306768
131313381c0
14981d9408
155da1052e
hex3c33b0c0

1010020544 has 112 divisors (see below), whose sum is σ = 2291059680. Its totient is φ = 437944320.

The previous prime is 1010020519. The next prime is 1010020547. The reversal of 1010020544 is 4450200101.

It is not an unprimeable number, because it can be changed into a prime (1010020547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861072 + ... + 2861424.

It is an arithmetic number, because the mean of its divisors is an integer number (20455890).

Almost surely, 21010020544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145529840).

1010020544 is an abundant number, since it is smaller than the sum of its proper divisors (1281039136).

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

1010020544 is a wasteful number, since it uses less digits than its factorization.

1010020544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1010020544 is about 31780.8203795937. The cubic root of 1010020544 is about 1003.3290862197.

Adding to 1010020544 its reverse (4450200101), we get a palindrome (5460220645).

The spelling of 1010020544 in words is "one billion, ten million, twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 181 208 247 304 353 362 416 494 608 706 724 832 988 1216 1412 1448 1976 2353 2824 2896 3439 3952 4589 4706 5648 5792 6707 6878 7904 9178 9412 11296 11584 13414 13756 15808 18356 18824 22592 26828 27512 36712 37648 44707 53656 55024 63893 73424 75296 87191 89414 107312 110048 127786 146848 150592 174382 178828 214624 220096 255572 293696 348764 357656 429248 511144 697528 715312 830609 1022288 1213967 1395056 1430624 1661218 2044576 2427934 2790112 2861248 3322436 4089152 4855868 5580224 6644872 9711736 13289744 15781571 19423472 26579488 31563142 38846944 53158976 63126284 77693888 126252568 252505136 505010272 1010020544