Search a number
-
+
5092920960 = 273510126263
BaseRepresentation
bin1001011111000111…
…11100111010000000
3111010221020012011020
410233203330322000
540412241432320
62201210545440
7240131054031
oct45743747200
914127205136
105092920960
112183903996
12ba1738280
136321941ca
1436456ca88
151ec1ad940
hex12f8fce80

5092920960 has 128 divisors (see below), whose sum is σ = 16395039360. Its totient is φ = 1344614400.

The previous prime is 5092920953. The next prime is 5092920971. The reversal of 5092920960 is 690292905.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180789 + ... + 207051.

It is an arithmetic number, because the mean of its divisors is an integer number (128086245).

Almost surely, 25092920960 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 5092920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197519680).

5092920960 is an abundant number, since it is smaller than the sum of its proper divisors (11302118400).

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

5092920960 is a wasteful number, since it uses less digits than its factorization.

5092920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26386 (or 26374 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 5092920960 is about 71364.7038808401. The cubic root of 5092920960 is about 1720.5038365332.

The spelling of 5092920960 in words is "five billion, ninety-two million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 303 320 384 404 480 505 606 640 808 960 1010 1212 1515 1616 1920 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 12928 16160 19392 24240 26263 32320 38784 48480 52526 64640 78789 96960 105052 131315 157578 193920 210104 262630 315156 393945 420208 525260 630312 787890 840416 1050520 1260624 1575780 1680832 2101040 2521248 2652563 3151560 3361664 4202080 5042496 5305126 6303120 7957689 8404160 10084992 10610252 12606240 13262815 15915378 16808320 21220504 25212480 26525630 31830756 39788445 42441008 50424960 53051260 63661512 79576890 84882016 106102520 127323024 159153780 169764032 212205040 254646048 318307560 339528064 424410080 509292096 636615120 848820160 1018584192 1273230240 1697640320 2546460480 5092920960