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1366559040 = 2635721119139
BaseRepresentation
bin101000101110100…
…0000100101000000
310112020102101120210
41101131000211000
510244314342130
6343334034120
745602363100
oct12135004500
93466371523
101366559040
11641429040
123217a8940
1318a170522
14cd6c9200
157ee8b5b0
hex51740940

1366559040 has 672 divisors, whose sum is σ = 5837529600. Its totient is φ = 267079680.

The previous prime is 1366559039. The next prime is 1366559057. The reversal of 1366559040 is 409556631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1366559040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9831291 + ... + 9831429.

It is an arithmetic number, because the mean of its divisors is an integer number (8686800).

Almost surely, 21366559040 is an apocalyptic number.

1366559040 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 1366559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

1366559040 is an abundant number, since it is smaller than the sum of its proper divisors (4470970560).

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

1366559040 is a wasteful number, since it uses less digits than its factorization.

1366559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1366559040 is about 36966.9993372467. Note that the first 3 decimals coincide. The cubic root of 1366559040 is about 1109.7099152687.

The spelling of 1366559040 in words is "one billion, three hundred sixty-six million, five hundred fifty-nine thousand, forty".