Search a number
-
+
126210230160 = 2435775125137
BaseRepresentation
bin111010110001010110…
…1110100011110010000
3110001202210210222201220
41311202231310132100
54031434304331120
6133551415125040
712055415153460
oct1654255643620
9401683728656
10126210230160
1149586425a43
1220563673780
13bb949ac981
14617403bba0
15343a2b8b40
hex1d62b74790

126210230160 has 80 divisors (see below), whose sum is σ = 447144821376. Its totient is φ = 28848052224.

The previous prime is 126210230147. The next prime is 126210230161. The reversal of 126210230160 is 61032012621.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126210230160.

It is not an unprimeable number, because it can be changed into a prime (126210230161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37560889 + ... + 37564248.

Almost surely, 2126210230160 is an apocalyptic number.

126210230160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126210230160 is an abundant number, since it is smaller than the sum of its proper divisors (320934591216).

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

126210230160 is a wasteful number, since it uses less digits than its factorization.

126210230160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75125160 (or 75125154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 126210230160 its reverse (61032012621), we get a palindrome (187242242781).

The spelling of 126210230160 in words is "one hundred twenty-six billion, two hundred ten million, two hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 75125137 150250274 225375411 300500548 375625685 450750822 525875959 601001096 751251370 901501644 1051751918 1126877055 1202002192 1502502740 1577627877 1803003288 2103503836 2253754110 2629379795 3005005480 3155255754 3606006576 4207007672 4507508220 5258759590 6010010960 6310511508 7888139385 8414015344 9015016440 10517519180 12621023016 15776278770 18030032880 21035038360 25242046032 31552557540 42070076720 63105115080 126210230160