Search a number
-
+
2108120448 = 27372812791
BaseRepresentation
bin111110110100111…
…0101110110000000
312102220210121121010
41331221311312000
513304134323243
6545104200520
7103145504520
oct17551656600
95386717533
102108120448
11991a85105
124aa009140
132779a2065
1415dda1680
15c511d433
hex7da75d80

2108120448 has 128 divisors (see below), whose sum is σ = 6424727040. Its totient is φ = 599961600.

The previous prime is 2108120423. The next prime is 2108120449. The reversal of 2108120448 is 8440218012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108120449) by changing a digit.

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, 753933 + ... + 756723.

It is an arithmetic number, because the mean of its divisors is an integer number (50193180).

Almost surely, 22108120448 is an apocalyptic number.

2108120448 is a gapful number since it is divisible by the number (28) 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 2108120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212363520).

2108120448 is an abundant number, since it is smaller than the sum of its proper divisors (4316606592).

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

2108120448 is a wasteful number, since it uses less digits than its factorization.

2108120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2108120448 is about 45914.2728135816. The cubic root of 2108120448 is about 1282.2276572897.

The spelling of 2108120448 in words is "two billion, one hundred eight million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 281 336 384 448 562 672 843 896 1124 1344 1686 1967 2248 2688 2791 3372 3934 4496 5582 5901 6744 7868 8373 8992 11164 11802 13488 15736 16746 17984 19537 22328 23604 26976 31472 33492 35968 39074 44656 47208 53952 58611 62944 66984 78148 89312 94416 107904 117222 125888 133968 156296 178624 188832 234444 251776 267936 312592 357248 377664 468888 535872 625184 755328 784271 937776 1071744 1250368 1568542 1875552 2352813 2500736 3137084 3751104 4705626 5489897 6274168 7502208 9411252 10979794 12548336 16469691 18822504 21959588 25096672 32939382 37645008 43919176 50193344 65878764 75290016 87838352 100386688 131757528 150580032 175676704 263515056 301160064 351353408 527030112 702706816 1054060224 2108120448