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1368538080 = 2535713171997
BaseRepresentation
bin101000110010010…
…0011101111100000
310112101010221022120
41101210203233200
510300321204310
6343444304240
745625244640
oct12144435740
93471127276
101368538080
1164255aa08
123223a2080
1318a6b4260
14cda82520
158022cb70
hex51923be0

1368538080 has 768 divisors, whose sum is σ = 5974456320. Its totient is φ = 254803968.

The previous prime is 1368538007. The next prime is 1368538117. The reversal of 1368538080 is 808358631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14108592 + ... + 14108688.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 21368538080 is an apocalyptic number.

1368538080 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 1368538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987228160).

1368538080 is an abundant number, since it is smaller than the sum of its proper divisors (4605918240).

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

1368538080 is a wasteful number, since it uses less digits than its factorization.

1368538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1368538080 is about 36993.7573112005. The cubic root of 1368538080 is about 1110.2453479246.

The spelling of 1368538080 in words is "one billion, three hundred sixty-eight million, five hundred thirty-eight thousand, eighty".