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1369468800 = 27325276793
BaseRepresentation
bin101000110100000…
…0110111110000000
310112102220020000200
41101220012332000
510301041000200
6343520245200
745636202260
oct12150067600
93472806020
101369468800
116430361a7
12322770800
1318a94ba8b
14cdc457a0
1580363800
hex51a06f80

1369468800 has 288 divisors, whose sum is σ = 5585483280. Its totient is φ = 312975360.

The previous prime is 1369468781. The next prime is 1369468817. The reversal of 1369468800 is 88649631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198204 + ... + 204996.

Almost surely, 21369468800 is an apocalyptic number.

1369468800 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 1369468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792741640).

1369468800 is an abundant number, since it is smaller than the sum of its proper divisors (4216014480).

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

1369468800 is a wasteful number, since it uses less digits than its factorization.

1369468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1369468800 is about 37006.3345928775. The cubic root of 1369468800 is about 1110.4969773590.

The spelling of 1369468800 in words is "one billion, three hundred sixty-nine million, four hundred sixty-eight thousand, eight hundred".