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1314498200 = 235215741863
BaseRepresentation
bin100111001011001…
…1010011010011000
310101121110102112112
41032112122122120
510143002420300
6334234131452
744401023161
oct11626323230
93347412475
101314498200
11614aaaa54
12308280b88
1317c4430b2
14c6816768
157a605e35
hex4e59a698

1314498200 has 48 divisors (see below), whose sum is σ = 3075748080. Its totient is φ = 522437760.

The previous prime is 1314498193. The next prime is 1314498217. The reversal of 1314498200 is 28944131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10469 + ... + 52331.

It is an arithmetic number, because the mean of its divisors is an integer number (64078085).

Almost surely, 21314498200 is an apocalyptic number.

1314498200 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 1314498200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537874040).

1314498200 is an abundant number, since it is smaller than the sum of its proper divisors (1761249880).

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

1314498200 is a wasteful number, since it uses less digits than its factorization.

1314498200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42036 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1314498200 is about 36256.0091571039. The cubic root of 1314498200 is about 1095.4351321381.

The spelling of 1314498200 in words is "one billion, three hundred fourteen million, four hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 41863 83726 167452 209315 334904 418630 837260 1046575 1674520 2093150 4186300 6572491 8372600 13144982 26289964 32862455 52579928 65724910 131449820 164312275 262899640 328624550 657249100 1314498200