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1940554836 = 22321129374567
BaseRepresentation
bin111001110101010…
…1000010001010100
312000020111101210100
41303222220101110
512433240223321
6520320454100
766042305163
oct16352502124
95006441710
101940554836
11906435630
12461a7a330
1324c062acc
14145a233da
15b556e326
hex73aa8454

1940554836 has 144 divisors (see below), whose sum is σ = 5686611840. Its totient is φ = 552303360.

The previous prime is 1940554823. The next prime is 1940554853. The reversal of 1940554836 is 6384550491.

1940554836 is a `hidden beast` number, since 1 + 94 + 0 + 554 + 8 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1940554791 and 1940554800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422625 + ... + 427191.

It is an arithmetic number, because the mean of its divisors is an integer number (39490360).

Almost surely, 21940554836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940554836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843305920).

1940554836 is an abundant number, since it is smaller than the sum of its proper divisors (3746057004).

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

1940554836 is a wasteful number, since it uses less digits than its factorization.

1940554836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1940554836 is about 44051.7290920572. The cubic root of 1940554836 is about 1247.3125914220.

It can be divided in two parts, 194055 and 4836, that added together give a palindrome (198891).

The spelling of 1940554836 in words is "one billion, nine hundred forty million, five hundred fifty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 37 44 58 66 74 87 99 111 116 132 148 174 198 222 261 319 333 348 396 407 444 522 638 666 814 957 1044 1073 1221 1276 1332 1628 1914 2146 2442 2871 3219 3663 3828 4292 4567 4884 5742 6438 7326 9134 9657 11484 11803 12876 13701 14652 18268 19314 23606 27402 35409 38628 41103 47212 50237 54804 70818 82206 100474 106227 132443 141636 150711 164412 168979 200948 212454 264886 301422 337958 397329 424908 452133 506937 529772 602844 675916 794658 904266 1013874 1191987 1456873 1520811 1589316 1808532 1858769 2027748 2383974 2913746 3041622 3717538 4370619 4767948 4900391 5576307 5827492 6083244 7435076 8741238 9800782 11152614 13111857 14701173 16728921 17482476 19601564 22305228 26223714 29402346 33457842 44103519 52447428 53904301 58804692 66915684 88207038 107808602 161712903 176414076 215617204 323425806 485138709 646851612 970277418 1940554836