Search a number
-
+
3093733520 = 245199720983
BaseRepresentation
bin1011100001100110…
…1010000010010000
321222121101221112222
42320121222002100
522313443433040
61230553240212
7136444205153
oct27031520220
97877357488
103093733520
111348371869
12724103068
133a3c42967
14214c45c9a
1513190bbb5
hexb866a090

3093733520 has 80 divisors (see below), whose sum is σ = 7649927040. Its totient is φ = 1160220672.

The previous prime is 3093733493. The next prime is 3093733529. The reversal of 3093733520 is 253373903.

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

It is not an unprimeable number, because it can be changed into a prime (3093733529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136949 + ... + 157931.

It is an arithmetic number, because the mean of its divisors is an integer number (95624088).

Almost surely, 23093733520 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 3093733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824963520).

3093733520 is an abundant number, since it is smaller than the sum of its proper divisors (4556193520).

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

3093733520 is a wasteful number, since it uses less digits than its factorization.

3093733520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 21106 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 35.

The square root of 3093733520 is about 55621.3405088371. The cubic root of 3093733520 is about 1457.1165835141.

The spelling of 3093733520 in words is "three billion, ninety-three million, seven hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 380 388 485 760 776 970 1520 1552 1843 1940 3686 3880 7372 7760 9215 14744 18430 20983 29488 36860 41966 73720 83932 104915 147440 167864 209830 335728 398677 419660 797354 839320 1594708 1678640 1993385 2035351 3189416 3986770 4070702 6378832 7973540 8141404 10176755 15947080 16282808 20353510 31894160 32565616 38671669 40707020 77343338 81414040 154686676 162828080 193358345 309373352 386716690 618746704 773433380 1546866760 3093733520