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1306239440 = 245111937691
BaseRepresentation
bin100110111011011…
…1010000111010000
310101000220211122112
41031312322013100
510133344130230
6333341124452
744240565152
oct11566720720
93330824575
101306239440
1161037a030
12305559728
1317a810c5c
14c56a6ad2
1579a23d95
hex4ddba1d0

1306239440 has 80 divisors (see below), whose sum is σ = 3330697536. Its totient is φ = 472473600.

The previous prime is 1306239419. The next prime is 1306239479. The reversal of 1306239440 is 449326031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13062394402 = 3412522949223027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1306239397 and 1306239406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165995 + ... + 173685.

Almost surely, 21306239440 is an apocalyptic number.

1306239440 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 1306239440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665348768).

1306239440 is an abundant number, since it is smaller than the sum of its proper divisors (2024458096).

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

1306239440 is a wasteful number, since it uses less digits than its factorization.

1306239440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1306239440 is about 36141.9346466124. The cubic root of 1306239440 is about 1093.1361689217.

The spelling of 1306239440 in words is "one billion, three hundred six million, two hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 386 440 772 880 965 1544 1930 2123 3088 3860 4246 7691 7720 8492 10615 15382 15440 16984 21230 30764 33968 38455 42460 61528 76910 84601 84920 123056 153820 169202 169840 307640 338404 423005 615280 676808 846010 1353616 1484363 1692020 2968726 3384040 5937452 6768080 7421815 11874904 14843630 16327993 23749808 29687260 32655986 59374520 65311972 81639965 118749040 130623944 163279930 261247888 326559860 653119720 1306239440