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1399306752 = 293623163
BaseRepresentation
bin101001101100111…
…1011101000000000
310121112001011000000
41103121323220000
510331210304002
6350504000000
746450624344
oct12331735000
93545034000
101399306752
11658965968
12330760000
13193b9807c
14d3bb1624
1582ca961c
hex5367ba00

1399306752 has 280 divisors, whose sum is σ = 4400995104. Its totient is φ = 443418624.

The previous prime is 1399306751. The next prime is 1399306757. The reversal of 1399306752 is 2576039931.

It is a junction number, because it is equal to n+sod(n) for n = 1399306698 and 1399306707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399306751) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584623 + ... + 8584785.

Almost surely, 21399306752 is an apocalyptic number.

1399306752 is a gapful number since it is divisible by the number (12) 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 1399306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200497552).

1399306752 is an abundant number, since it is smaller than the sum of its proper divisors (3001688352).

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

1399306752 is an frugal number, since it uses more digits than its factorization.

1399306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1399306752 is about 37407.3088045638. The cubic root of 1399306752 is about 1118.5042618635.

The spelling of 1399306752 in words is "one billion, three hundred ninety-nine million, three hundred six thousand, seven hundred fifty-two".