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1060000000 = 285753
BaseRepresentation
bin111111001011100…
…101000100000000
32201212120120122021
4333023211010000
54132330000000
6253103251224
735160565003
oct7713450400
92655516567
101060000000
114a4384764
12256ba9b14
1313b7b7147
14a0ac953a
15630d411a
hex3f2e5100

1060000000 has 144 divisors (see below), whose sum is σ = 2694719664. Its totient is φ = 416000000.

The previous prime is 1059999991. The next prime is 1060000037. The reversal of 1060000000 is 601.

It can be written as a sum of positive squares in 8 ways, for example, as 912523264 + 147476736 = 30208^2 + 12144^2 .

It is a super-2 number, since 2×10600000002 = 2247200000000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 19999974 + ... + 20000026.

It is an arithmetic number, because the mean of its divisors is an integer number (18713331).

Almost surely, 21060000000 is an apocalyptic number.

1060000000 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 1060000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347359832).

1060000000 is an abundant number, since it is smaller than the sum of its proper divisors (1634719664).

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

1060000000 is an frugal number, since it uses more digits than its factorization.

1060000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1060000000 is about 32557.6411921994. The cubic root of 1060000000 is about 1019.6128224222.

Adding to 1060000000 its reverse (601), we get a palindrome (1060000601).

The spelling of 1060000000 in words is "one billion, sixty million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 160 200 212 250 256 265 320 400 424 500 530 625 640 800 848 1000 1060 1250 1280 1325 1600 1696 2000 2120 2500 2650 3125 3200 3392 4000 4240 5000 5300 6250 6400 6625 6784 8000 8480 10000 10600 12500 13250 13568 15625 16000 16960 20000 21200 25000 26500 31250 32000 33125 33920 40000 42400 50000 53000 62500 66250 67840 78125 80000 84800 100000 106000 125000 132500 156250 160000 165625 169600 200000 212000 250000 265000 312500 331250 339200 400000 424000 500000 530000 625000 662500 800000 828125 848000 1000000 1060000 1250000 1325000 1656250 1696000 2000000 2120000 2500000 2650000 3312500 4000000 4140625 4240000 5000000 5300000 6625000 8281250 8480000 10000000 10600000 13250000 16562500 20000000 21200000 26500000 33125000 42400000 53000000 66250000 106000000 132500000 212000000 265000000 530000000 1060000000