Search a number
-
+
5785819340 = 22571013731097
BaseRepresentation
bin1010110001101110…
…01001100011001100
3112221020001002001012
411120313021203030
543322132204330
62354042104352
7263243436650
oct53067114314
915836032035
105785819340
1124a9a42784
1211557ab0b8
137128b8052
143cc5b8a60
1523ce2bc95
hex158dc98cc

5785819340 has 96 divisors (see below), whose sum is σ = 14073865344. Its totient is φ = 1957017600.

The previous prime is 5785819339. The next prime is 5785819379. The reversal of 5785819340 is 439185875.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5273672 + ... + 5274768.

It is an arithmetic number, because the mean of its divisors is an integer number (146602764).

Almost surely, 25785819340 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 5785819340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036932672).

5785819340 is an abundant number, since it is smaller than the sum of its proper divisors (8288046004).

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

5785819340 is a wasteful number, since it uses less digits than its factorization.

5785819340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The square root of 5785819340 is about 76064.5734885827. The cubic root of 5785819340 is about 1795.2363073204.

The spelling of 5785819340 in words is "five billion, seven hundred eighty-five million, eight hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 373 404 505 707 746 1010 1097 1414 1492 1865 2020 2194 2611 2828 3535 3730 4388 5222 5485 7070 7460 7679 10444 10970 13055 14140 15358 21940 26110 30716 37673 38395 52220 75346 76790 110797 150692 153580 188365 221594 263711 376730 409181 443188 527422 553985 753460 775579 818362 1054844 1107970 1318555 1551158 1636724 2045905 2215940 2637110 2864267 3102316 3877895 4091810 5274220 5728534 7755790 8183620 11457068 14321335 15511580 28642670 41327281 57285340 82654562 165309124 206636405 289290967 413272810 578581934 826545620 1157163868 1446454835 2892909670 5785819340