Search a number
-
+
10060000000 = 2857503
BaseRepresentation
bin10010101111001111…
…10110101100000000
3221222002122221122121
421113213312230000
5131100330000000
64342124414024
7504203406031
oct112747665400
927862587577
1010060000000
1142a2675996
121b490a7314
13c4426742b
146b6100a88
153dd2b0b1a
hex2579f6b00

10060000000 has 144 divisors (see below), whose sum is σ = 25150716864. Its totient is φ = 4016000000.

The previous prime is 10059999959. The next prime is 10060000001. The reversal of 10060000000 is 6001.

10060000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10060000001) 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, 19999749 + ... + 20000251.

It is an arithmetic number, because the mean of its divisors is an integer number (174657756).

Almost surely, 210060000000 is an apocalyptic number.

10060000000 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 10060000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575358432).

10060000000 is an abundant number, since it is smaller than the sum of its proper divisors (15090716864).

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

10060000000 is an frugal number, since it uses more digits than its factorization.

10060000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 510 counting only the distinct ones).

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

Adding to 10060000000 its reverse (6001), we get a palindrome (10060006001).

The spelling of 10060000000 in words is "ten 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 64 80 100 125 128 160 200 250 256 320 400 500 503 625 640 800 1000 1006 1250 1280 1600 2000 2012 2500 2515 3125 3200 4000 4024 5000 5030 6250 6400 8000 8048 10000 10060 12500 12575 15625 16000 16096 20000 20120 25000 25150 31250 32000 32192 40000 40240 50000 50300 62500 62875 64384 78125 80000 80480 100000 100600 125000 125750 128768 156250 160000 160960 200000 201200 250000 251500 312500 314375 321920 400000 402400 500000 503000 625000 628750 643840 800000 804800 1000000 1006000 1250000 1257500 1571875 1609600 2000000 2012000 2500000 2515000 3143750 3219200 4000000 4024000 5000000 5030000 6287500 7859375 8048000 10000000 10060000 12575000 15718750 16096000 20000000 20120000 25150000 31437500 39296875 40240000 50300000 62875000 78593750 80480000 100600000 125750000 157187500 201200000 251500000 314375000 402400000 503000000 628750000 1006000000 1257500000 2012000000 2515000000 5030000000 10060000000