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1369000000 = 2656372
BaseRepresentation
bin101000110011001…
…0100100001000000
310112102000101221201
41101212110201000
510300431000000
6343502230544
745632210434
oct12146244100
93472011851
101369000000
11642845a65
12322585454
1318a816594
14cdb629c4
15802be96a
hex51994840

1369000000 has 147 divisors (see below), whose sum is σ = 3489974859. Its totient is φ = 532800000.

The previous prime is 1368999979. The next prime is 1369000007. The reversal of 1369000000 is 9631.

The square root of 1369000000 is 37000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1367816256 + 1183744 = 36984^2 + 1088^2 .

It is a super-2 number, since 2×13690000002 = 3748322000000000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1369000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 36999982 + ... + 37000018.

Almost surely, 21369000000 is an apocalyptic number.

1369000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1369000000 is the 37000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1369000000

1369000000 is an abundant number, since it is smaller than the sum of its proper divisors (2120974859).

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

1369000000 is an frugal number, since it uses more digits than its factorization.

1369000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The cubic root of 1369000000 is about 1110.3702468587.

Adding to 1369000000 its reverse (9631), we get a palindrome (1369009631).

The spelling of 1369000000 in words is "one billion, three hundred sixty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 625 740 800 925 1000 1184 1250 1369 1480 1600 1850 2000 2368 2500 2738 2960 3125 3700 4000 4625 5000 5476 5920 6250 6845 7400 8000 9250 10000 10952 11840 12500 13690 14800 15625 18500 20000 21904 23125 25000 27380 29600 31250 34225 37000 40000 43808 46250 50000 54760 59200 62500 68450 74000 87616 92500 100000 109520 115625 125000 136900 148000 171125 185000 200000 219040 231250 250000 273800 296000 342250 370000 438080 462500 500000 547600 578125 684500 740000 855625 925000 1000000 1095200 1156250 1369000 1480000 1711250 1850000 2190400 2312500 2738000 3422500 3700000 4278125 4625000 5476000 6845000 7400000 8556250 9250000 10952000 13690000 17112500 18500000 21390625 27380000 34225000 37000000 42781250 54760000 68450000 85562500 136900000 171125000 273800000 342250000 684500000 1369000000