Search a number
-
+
4619961120 = 253527734747
BaseRepresentation
bin1000100110101111…
…10000001100100000
3102220222021100020010
410103113300030200
533430202223440
62042233444520
7222326010255
oct42327601440
912828240203
104619961120
111a60936195
12a8b270740
135881b8b08
1431b81542c
151c08d7580
hex1135f0320

4619961120 has 96 divisors (see below), whose sum is σ = 14605835328. Its totient is φ = 1227506688.

The previous prime is 4619961113. The next prime is 4619961127. The reversal of 4619961120 is 211699164.

It is an interprime number because it is at equal distance from previous prime (4619961113) and next prime (4619961127).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4619961127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115587 + ... + 150333.

It is an arithmetic number, because the mean of its divisors is an integer number (152144118).

Almost surely, 24619961120 is an apocalyptic number.

4619961120 is a gapful number since it is divisible by the number (40) 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 4619961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302917664).

4619961120 is an abundant number, since it is smaller than the sum of its proper divisors (9985874208).

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

4619961120 is a wasteful number, since it uses less digits than its factorization.

4619961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35042 (or 35034 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 4619961120 is about 67970.2958651792. The cubic root of 4619961120 is about 1665.5056369049.

The spelling of 4619961120 in words is "four billion, six hundred nineteen million, nine hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 22160 26592 33240 34747 44320 66480 69494 104241 132960 138988 173735 208482 277976 347470 416964 521205 555952 694940 833928 1042410 1111904 1389880 1667856 2084820 2779760 3335712 4169640 5559520 8339280 9624919 16678560 19249838 28874757 38499676 48124595 57749514 76999352 96249190 115499028 144373785 153998704 192498380 230998056 288747570 307997408 384996760 461996112 577495140 769993520 923992224 1154990280 1539987040 2309980560 4619961120