Search a number
-
+
4765987920 = 243531163853
BaseRepresentation
bin1000111000001001…
…10011010001010000
3110022011001021100010
410130010303101100
534230043103140
62104531354520
7226051141341
oct43404632120
913264037303
104765987920
1120263042a1
12b10152a40
135ac5263c5
14332d880c8
151cd62e880
hex11c133450

4765987920 has 80 divisors (see below), whose sum is σ = 14822301312. Its totient is φ = 1266823680.

The previous prime is 4765987879. The next prime is 4765987931. The reversal of 4765987920 is 297895674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42714 + ... + 106566.

Almost surely, 24765987920 is an apocalyptic number.

4765987920 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 4765987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411150656).

4765987920 is an abundant number, since it is smaller than the sum of its proper divisors (10056313392).

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

4765987920 is a wasteful number, since it uses less digits than its factorization.

4765987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64180 (or 64174 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 4765987920 is about 69036.1348860146. The cubic root of 4765987920 is about 1682.8715911165.

The spelling of 4765987920 in words is "four billion, seven hundred sixty-five million, nine hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 63853 74640 127706 191559 255412 319265 383118 510824 638530 766236 957795 1021648 1277060 1532472 1915590 2554120 3064944 3831180 5108240 7662360 15324720 19858283 39716566 59574849 79433132 99291415 119149698 158866264 198582830 238299396 297874245 317732528 397165660 476598792 595748490 794331320 953197584 1191496980 1588662640 2382993960 4765987920