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1399668480 = 283257171021
BaseRepresentation
bin101001101101101…
…0011111100000000
310121112201112012100
41103123103330000
510331303342410
6350515430400
746453662060
oct12333237400
93545645170
101399668480
11659092711
123308b5400
13193c93902
14d3c673a0
1582d2b8c0
hex536d3f00

1399668480 has 432 divisors, whose sum is σ = 5865822144. Its totient is φ = 300810240.

The previous prime is 1399668461. The next prime is 1399668509. The reversal of 1399668480 is 848669931.

1399668480 is a `hidden beast` number, since 13 + 9 + 96 + 68 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370370 + ... + 1371390.

It is an arithmetic number, because the mean of its divisors is an integer number (13578292).

Almost surely, 21399668480 is an apocalyptic number.

1399668480 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 1399668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932911072).

1399668480 is an abundant number, since it is smaller than the sum of its proper divisors (4466153664).

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

1399668480 is a wasteful number, since it uses less digits than its factorization.

1399668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1399668480 is about 37412.1434830992. The cubic root of 1399668480 is about 1118.6006332634.

The spelling of 1399668480 in words is "one billion, three hundred ninety-nine million, six hundred sixty-eight thousand, four hundred eighty".