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1406897408 = 2872195903
BaseRepresentation
bin101001111011011…
…1000110100000000
310122001022210102102
41103312320310000
510340131204113
6351334405532
746602300500
oct12366706400
93561283372
101406897408
1166217a934
123332008a8
13195625097
14d4bc9a00
15837a8758
hex53db8d00

1406897408 has 108 divisors (see below), whose sum is σ = 3439316160. Its totient is φ = 571124736.

The previous prime is 1406897381. The next prime is 1406897431. The reversal of 1406897408 is 8047986041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235385 + ... + 241287.

It is an arithmetic number, because the mean of its divisors is an integer number (31845520).

Almost surely, 21406897408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719658080).

1406897408 is an abundant number, since it is smaller than the sum of its proper divisors (2032418752).

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

1406897408 is an equidigital number, since it uses as much as digits as its factorization.

1406897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 1406897408 is about 37508.6311133851. The cubic root of 1406897408 is about 1120.5230889899.

The spelling of 1406897408 in words is "one billion, four hundred six million, eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 532 608 784 896 931 1064 1216 1568 1792 1862 2128 2432 3136 3724 4256 4864 5903 6272 7448 8512 11806 12544 14896 17024 23612 29792 34048 41321 47224 59584 82642 94448 112157 119168 165284 188896 224314 238336 289247 330568 377792 448628 578494 661136 755584 785099 897256 1156988 1322272 1511168 1570198 1794512 2313976 2644544 3140396 3589024 4627952 5289088 5495693 6280792 7178048 9255904 10578176 10991386 12561584 14356096 18511808 21982772 25123168 28712192 37023616 43965544 50246336 74047232 87931088 100492672 175862176 200985344 351724352 703448704 1406897408