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1416412640 = 25531328283
BaseRepresentation
bin101010001101100…
…1011110111100000
310122201020012212102
41110123023313200
510400100201030
6352314345532
750046210626
oct12433136740
93581205772
101416412640
11667589865
1233642b2a8
131975a70b6
14d6185516
1584537c45
hex546cbde0

1416412640 has 48 divisors (see below), whose sum is σ = 3357084528. Its totient is φ = 564734976.

The previous prime is 1416412597. The next prime is 1416412663. The reversal of 1416412640 is 462146141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35939 + ... + 64221.

It is an arithmetic number, because the mean of its divisors is an integer number (69939261).

Almost surely, 21416412640 is an apocalyptic number.

1416412640 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 1416412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678542264).

1416412640 is an abundant number, since it is smaller than the sum of its proper divisors (1940671888).

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

1416412640 is a wasteful number, since it uses less digits than its factorization.

1416412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28611 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1416412640 is about 37635.2579372056. The cubic root of 1416412640 is about 1123.0435500281.

Adding to 1416412640 its reverse (462146141), we get a palindrome (1878558781).

The spelling of 1416412640 in words is "one billion, four hundred sixteen million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 25040 28283 50080 56566 113132 141415 226264 282830 452528 565660 905056 1131320 2262640 4525280 8852579 17705158 35410316 44262895 70820632 88525790 141641264 177051580 283282528 354103160 708206320 1416412640