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1914505340 = 2251143439461
BaseRepresentation
bin111001000011101…
…0000100001111100
311221102110221121012
41302013100201330
512410103132330
6513550254352
765305012136
oct16207204174
94842427535
101914505340
118a2763220
124551b73b8
13246841cc7
141423a2056
15b3125c95
hex721d087c

1914505340 has 96 divisors (see below), whose sum is σ = 4507937280. Its totient is φ = 676972800.

The previous prime is 1914505331. The next prime is 1914505343. The reversal of 1914505340 is 435054191.

It is a junction number, because it is equal to n+sod(n) for n = 1914505297 and 1914505306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914505343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4152710 + ... + 4153170.

It is an arithmetic number, because the mean of its divisors is an integer number (46957680).

Almost surely, 21914505340 is an apocalyptic number.

1914505340 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 1914505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253968640).

1914505340 is an abundant number, since it is smaller than the sum of its proper divisors (2593431940).

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

1914505340 is a wasteful number, since it uses less digits than its factorization.

1914505340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1914505340 is about 43755.0607358737. The cubic root of 1914505340 is about 1241.7062316317.

The spelling of 1914505340 in words is "one billion, nine hundred fourteen million, five hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 439 461 473 860 878 922 946 1756 1844 1892 2195 2305 2365 4390 4610 4730 4829 5071 8780 9220 9460 9658 10142 18877 19316 19823 20284 24145 25355 37754 39646 48290 50710 75508 79292 94385 96580 99115 101420 188770 198230 202379 207647 218053 377540 396460 404758 415294 436106 809516 830588 872212 1011895 1038235 1090265 2023790 2076470 2180530 2226169 4047580 4152940 4361060 4452338 8702297 8904676 11130845 17404594 22261690 34809188 43511485 44523380 87022970 95725267 174045940 191450534 382901068 478626335 957252670 1914505340