Search a number
-
+
5676795960 = 2335114679209
BaseRepresentation
bin1010100100101110…
…10000100000111000
3112122121220010002020
411102113100200320
543111224432320
62335145234440
7260450653353
oct52227204070
915577803066
105676795960
112453448910
121125192a20
136c6135384
143bbd1929a
15233593940
hex1525d0838

5676795960 has 128 divisors (see below), whose sum is σ = 18620409600. Its totient is φ = 1373096960.

The previous prime is 5676795953. The next prime is 5676795977. The reversal of 5676795960 is 695976765.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5676795894 and 5676795903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611836 + ... + 621044.

It is an arithmetic number, because the mean of its divisors is an integer number (145471950).

Almost surely, 25676795960 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 5676795960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9310204800).

5676795960 is an abundant number, since it is smaller than the sum of its proper divisors (12943613640).

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

5676795960 is a wasteful number, since it uses less digits than its factorization.

5676795960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 60.

The square root of 5676795960 is about 75344.5151288400. The cubic root of 5676795960 is about 1783.8887291764. Note that the first 3 decimals are identical.

The spelling of 5676795960 in words is "five billion, six hundred seventy-six million, seven hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 467 660 934 1320 1401 1868 2335 2802 3736 4670 5137 5604 7005 9209 9340 10274 11208 14010 15411 18418 18680 20548 25685 27627 28020 30822 36836 41096 46045 51370 55254 56040 61644 73672 77055 92090 101299 102740 110508 123288 138135 154110 184180 202598 205480 221016 276270 303897 308220 368360 405196 506495 552540 607794 616440 810392 1012990 1105080 1215588 1519485 2025980 2431176 3038970 4051960 4300603 6077940 8601206 12155880 12901809 17202412 21503015 25803618 34404824 43006030 47306633 51607236 64509045 86012060 94613266 103214472 129018090 141919899 172024120 189226532 236533165 258036180 283839798 378453064 473066330 516072360 567679596 709599495 946132660 1135359192 1419198990 1892265320 2838397980 5676795960