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1369436640 = 2535111371281
BaseRepresentation
bin101000110011111…
…1111000111100000
310112102211120220120
41101213333013200
510301033433030
6343515440240
745636006435
oct12147770740
93472746816
101369436640
11643014020
12322756080
1318a93a250
14cdc37b8c
1580359010
hex519ff1e0

1369436640 has 384 divisors, whose sum is σ = 5157540864. Its totient is φ = 301056000.

The previous prime is 1369436617. The next prime is 1369436657. The reversal of 1369436640 is 466349631.

It is a junction number, because it is equal to n+sod(n) for n = 1369436592 and 1369436601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873300 + ... + 4873580.

It is an arithmetic number, because the mean of its divisors is an integer number (13431096).

Almost surely, 21369436640 is an apocalyptic number.

1369436640 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 1369436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578770432).

1369436640 is an abundant number, since it is smaller than the sum of its proper divisors (3788104224).

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

1369436640 is a wasteful number, since it uses less digits than its factorization.

1369436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 1369436640 is about 37005.9000701240. The cubic root of 1369436640 is about 1110.4882844843.

The spelling of 1369436640 in words is "one billion, three hundred sixty-nine million, four hundred thirty-six thousand, six hundred forty".