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1906298320 = 245971671471
BaseRepresentation
bin111000110011111…
…1100110111010000
311220212000222200111
41301213330313100
512401003021240
6513054331104
765145161023
oct16147746720
94825028614
101906298320
11899068163
124524b9a94
13244c2a594
141412671ba
15b25541ea
hex719fcdd0

1906298320 has 80 divisors (see below), whose sum is σ = 4507711488. Its totient is φ = 749629440.

The previous prime is 1906298299. The next prime is 1906298327. The reversal of 1906298320 is 238926091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906298327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295185 + ... + 1296655.

Almost surely, 21906298320 is an apocalyptic number.

1906298320 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 1906298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253855744).

1906298320 is an abundant number, since it is smaller than the sum of its proper divisors (2601413168).

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

1906298320 is a wasteful number, since it uses less digits than its factorization.

1906298320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1906298320 is about 43661.1763469561. The cubic root of 1906298320 is about 1239.9293924416.

The spelling of 1906298320 in words is "one billion, nine hundred six million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 167 194 334 388 485 668 776 835 970 1336 1471 1552 1670 1940 2672 2942 3340 3880 5884 6680 7355 7760 11768 13360 14710 16199 23536 29420 32398 58840 64796 80995 117680 129592 142687 161990 245657 259184 285374 323980 491314 570748 647960 713435 982628 1141496 1228285 1295920 1426870 1965256 2282992 2456570 2853740 3930512 4913140 5707480 9826280 11414960 19652560 23828729 47657458 95314916 119143645 190629832 238287290 381259664 476574580 953149160 1906298320