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1369630080 = 27335713267
BaseRepresentation
bin101000110100010…
…1110010110000000
310112110012102021000
41101220232112000
510301111130310
6343523532000
745640443420
oct12150562600
93473172230
101369630080
11643136395
1232282a000
1318a9a7300
14cdc88480
15803964c0
hex51a2e580

1369630080 has 768 divisors, whose sum is σ = 6092582400. Its totient is φ = 284663808.

The previous prime is 1369630079. The next prime is 1369630091. The reversal of 1369630080 is 800369631.

It is a happy number.

1369630080 is a `hidden beast` number, since 13 + 6 + 9 + 630 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20442207 + ... + 20442273.

It is an arithmetic number, because the mean of its divisors is an integer number (7933050).

Almost surely, 21369630080 is an apocalyptic number.

1369630080 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 1369630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046291200).

1369630080 is an abundant number, since it is smaller than the sum of its proper divisors (4722952320).

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

1369630080 is a wasteful number, since it uses less digits than its factorization.

1369630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1369630080 is about 37008.5136151129. The cubic root of 1369630080 is about 1110.5405694249.

The spelling of 1369630080 in words is "one billion, three hundred sixty-nine million, six hundred thirty thousand, eighty".