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1416680096 = 251311330137
BaseRepresentation
bin101010001110000…
…1101001010100000
310122201201210202012
41110130031022200
510400132230341
6352324212052
750051403446
oct12434151240
93581653665
101416680096
116677517a7
1233653a028
1319766ba60
14d6214b96
158458c0eb
hex5470d2a0

1416680096 has 48 divisors (see below), whose sum is σ = 3030315624. Its totient is φ = 648044544.

The previous prime is 1416680029. The next prime is 1416680113. The reversal of 1416680096 is 6900866141.

It can be written as a sum of positive squares in 4 ways, for example, as 222010000 + 1194670096 = 14900^2 + 34564^2 .

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, 31940 + ... + 62076.

Almost surely, 21416680096 is an apocalyptic number.

1416680096 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 1416680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515157812).

1416680096 is an abundant number, since it is smaller than the sum of its proper divisors (1613635528).

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

1416680096 is a wasteful number, since it uses less digits than its factorization.

1416680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30273 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1416680096 is about 37638.8110332938. The cubic root of 1416680096 is about 1123.1142323099.

The spelling of 1416680096 in words is "one billion, four hundred sixteen million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1808 2938 3616 5876 11752 23504 30137 47008 60274 120548 241096 391781 482192 783562 964384 1567124 3134248 3405481 6268496 6810962 12536992 13621924 27243848 44271253 54487696 88542506 108975392 177085012 354170024 708340048 1416680096