Search a number
-
+
4431096560 = 245116178161
BaseRepresentation
bin1000010000001110…
…10010101011110000
3102102210220000202102
410020013102223300
533033330042220
62011405435532
7214543461602
oct41007225360
912383800672
104431096560
111974269480
12a37b6bba8
13558030137
143006d1172
151ae02c775
hex1081d2af0

4431096560 has 80 divisors (see below), whose sum is σ = 11258466912. Its totient is φ = 1608499200.

The previous prime is 4431096517. The next prime is 4431096617. The reversal of 4431096560 is 656901344.

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 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, 538880 + ... + 547040.

Almost surely, 24431096560 is an apocalyptic number.

4431096560 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 4431096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629233456).

4431096560 is an abundant number, since it is smaller than the sum of its proper divisors (6827370352).

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

4431096560 is a wasteful number, since it uses less digits than its factorization.

4431096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 4431096560 is about 66566.4822564630. The cubic root of 4431096560 is about 1642.4937967111.

The spelling of 4431096560 in words is "four billion, four hundred thirty-one million, ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 617 880 1234 2468 3085 4936 6170 6787 8161 9872 12340 13574 16322 24680 27148 32644 33935 40805 49360 54296 65288 67870 81610 89771 108592 130576 135740 163220 179542 271480 326440 359084 448855 542960 652880 718168 897710 1436336 1795420 3590840 5035337 7181680 10070674 20141348 25176685 40282696 50353370 55388707 80565392 100706740 110777414 201413480 221554828 276943535 402826960 443109656 553887070 886219312 1107774140 2215548280 4431096560