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1390678848 = 263313311997
BaseRepresentation
bin101001011100100…
…0001001101000000
310120220210210202000
41102321001031000
510322003210343
6345555024000
746314401166
oct12271011500
93526723660
101390678848
11654002669
1232989b000
13192166bc0
14d29a7236
1582152ed3
hex52e41340

1390678848 has 224 divisors, whose sum is σ = 4547128320. Its totient is φ = 413890560.

The previous prime is 1390678843. The next prime is 1390678859. The reversal of 1390678848 is 8488760931.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1390678794 and 1390678803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390678843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695386 + ... + 697382.

It is an arithmetic number, because the mean of its divisors is an integer number (20299680).

Almost surely, 21390678848 is an apocalyptic number.

1390678848 is a gapful number since it is divisible by the number (18) 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 1390678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273564160).

1390678848 is an abundant number, since it is smaller than the sum of its proper divisors (3156449472).

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

1390678848 is a wasteful number, since it uses less digits than its factorization.

1390678848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1390678848 is about 37291.8067140759. The cubic root of 1390678848 is about 1116.2006807570.

The spelling of 1390678848 in words is "one billion, three hundred ninety million, six hundred seventy-eight thousand, eight hundred forty-eight".