Search a number
-
+
4113013520 = 245711667697
BaseRepresentation
bin1111010100100111…
…1001101100010000
3101121122100201212002
43311021321230100
531410412413040
61520044053132
7203632016030
oct36511715420
911548321762
104113013520
111820763a30
129695341a8
13507170615
142b03718c0
1519114aa15
hexf5279b10

4113013520 has 80 divisors (see below), whose sum is σ = 11922415488. Its totient is φ = 1281976320.

The previous prime is 4113013519. The next prime is 4113013529. The reversal of 4113013520 is 253103114.

4113013520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4113013492 and 4113013501.

It is not an unprimeable number, because it can be changed into a prime (4113013529) 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, 327689 + ... + 340008.

Almost surely, 24113013520 is an apocalyptic number.

4113013520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113013520 is an abundant number, since it is smaller than the sum of its proper divisors (7809401968).

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

4113013520 is a wasteful number, since it uses less digits than its factorization.

4113013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667728 (or 667722 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4113013520 is about 64132.7803856967. The cubic root of 4113013520 is about 1602.2122419147.

Adding to 4113013520 its reverse (253103114), we get a palindrome (4366116634).

The spelling of 4113013520 in words is "four billion, one hundred thirteen million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 667697 1335394 2670788 3338485 4673879 5341576 6676970 7344667 9347758 10683152 13353940 14689334 18695516 23369395 26707880 29378668 36723335 37391032 46738790 51412669 53415760 58757336 73446670 74782064 93477580 102825338 117514672 146893340 186955160 205650676 257063345 293786680 373910320 411301352 514126690 587573360 822602704 1028253380 2056506760 4113013520