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1514002000 = 2453732207
BaseRepresentation
bin101101000111101…
…1101011001010000
310220111212021022011
41122033131121100
511100041031000
6410122152304
752342543000
oct13217353120
93814767264
101514002000
11707684125
12363052694
131b1885594
1410510a000
158cdb32ba
hex5a3dd650

1514002000 has 160 divisors (see below), whose sum is σ = 4271155200. Its totient is φ = 518851200.

The previous prime is 1514001991. The next prime is 1514002003. The reversal of 1514002000 is 2004151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684897 + ... + 687103.

It is an arithmetic number, because the mean of its divisors is an integer number (26694720).

Almost surely, 21514002000 is an apocalyptic number.

1514002000 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 1514002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135577600).

1514002000 is an abundant number, since it is smaller than the sum of its proper divisors (2757153200).

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

1514002000 is an equidigital number, since it uses as much as digits as its factorization.

1514002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1514002000 is about 38910.1786169121. The cubic root of 1514002000 is about 1148.2650587648.

Adding to 1514002000 its reverse (2004151), we get a palindrome (1516006151).

The spelling of 1514002000 in words is "one billion, five hundred fourteen million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2207 2450 2744 2800 3430 3500 3920 4414 4900 5488 6125 6860 7000 8575 8828 9800 11035 12250 13720 14000 15449 17150 17656 19600 22070 24500 27440 30898 34300 35312 42875 44140 49000 55175 61796 68600 77245 85750 88280 98000 108143 110350 123592 137200 154490 171500 176560 216286 220700 247184 275875 308980 343000 386225 432572 441400 540715 551750 617960 686000 757001 772450 865144 882800 1081430 1103500 1235920 1514002 1544900 1730288 1931125 2162860 2207000 2703575 3028004 3089800 3785005 3862250 4325720 4414000 5407150 6056008 6179600 7570010 7724500 8651440 10814300 12112016 13517875 15140020 15449000 18925025 21628600 27035750 30280040 30898000 37850050 43257200 54071500 60560080 75700100 94625125 108143000 151400200 189250250 216286000 302800400 378500500 757001000 1514002000