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1380289456 = 247136115541
BaseRepresentation
bin101001001000101…
…1000101110110000
310120012020222011201
41102101120232300
510311323230311
6344544220544
746130160340
oct12221305660
93505228151
101380289456
11649156997
1232630a754
1318cc6a030
14d1460d20
158129e9c1
hex52458bb0

1380289456 has 80 divisors (see below), whose sum is σ = 3345633088. Its totient is φ = 537062400.

The previous prime is 1380289451. The next prime is 1380289459. The reversal of 1380289456 is 6549820831.

It is not an unprimeable number, because it can be changed into a prime (1380289451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81046 + ... + 96586.

Almost surely, 21380289456 is an apocalyptic number.

1380289456 is a gapful number since it is divisible by the number (16) 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 1380289456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672816544).

1380289456 is an abundant number, since it is smaller than the sum of its proper divisors (1965343632).

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

1380289456 is a wasteful number, since it uses less digits than its factorization.

1380289456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 1380289456 is about 37152.2469845365. The cubic root of 1380289456 is about 1113.4141171098.

The spelling of 1380289456 in words is "one billion, three hundred eighty million, two hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 182 208 244 364 427 488 728 793 854 976 1456 1586 1708 3172 3416 5551 6344 6832 11102 12688 15541 22204 31082 44408 62164 88816 108787 124328 202033 217574 248656 404066 435148 808132 870296 948001 1414231 1616264 1740592 1896002 2828462 3232528 3792004 5656924 6636007 7584008 11313848 12324013 13272014 15168016 22627696 24648026 26544028 49296052 53088056 86268091 98592104 106176112 172536182 197184208 345072364 690144728 1380289456