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1919716240 = 245131845881
BaseRepresentation
bin111001001101100…
…1000101110010000
311221210021200121111
41302123020232100
512412421404430
6514254103104
765400214231
oct16233105620
94853250544
101919716240
118a56a2252
12456aaaa94
13247947a90
14142d5b088
15b3804c2a
hex726c8b90

1919716240 has 40 divisors (see below), whose sum is σ = 4806676728. Its totient is φ = 708817920.

The previous prime is 1919716223. The next prime is 1919716273. The reversal of 1919716240 is 426179191.

It can be written as a sum of positive squares in 4 ways, for example, as 113806224 + 1805910016 = 10668^2 + 42496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1919716193 and 1919716202.

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, 921901 + ... + 923980.

Almost surely, 21919716240 is an apocalyptic number.

1919716240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1919716240 is an abundant number, since it is smaller than the sum of its proper divisors (2886960488).

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

1919716240 is a wasteful number, since it uses less digits than its factorization.

1919716240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845907 (or 1845901 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 1919716240 is about 43814.5665275830. The cubic root of 1919716240 is about 1242.8317696221.

The spelling of 1919716240 in words is "one billion, nine hundred nineteen million, seven hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1845881 3691762 7383524 9229405 14767048 18458810 23996453 29534096 36917620 47992906 73835240 95985812 119982265 147670480 191971624 239964530 383943248 479929060 959858120 1919716240