Base | Representation |
---|---|
bin | 111010001000000… |
… | …0010010001100000 |
3 | 12000220221120212110 |
4 | 1310100002101200 |
5 | 12443243020142 |
6 | 521310555320 |
7 | 66221535501 |
oct | 16420022140 |
9 | 5026846773 |
10 | 1950360672 |
11 | 910a22927 |
12 | 465208b40 |
13 | 2510b7190 |
14 | 147056ba8 |
15 | b635999c |
hex | 74402460 |
1950360672 has 96 divisors (see below), whose sum is σ = 5528446560. Its totient is φ = 598487040.
The previous prime is 1950360631. The next prime is 1950360679. The reversal of 1950360672 is 2760630591.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 1950360672.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1950360679) 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, 508522 + ... + 512342.
It is an arithmetic number, because the mean of its divisors is an integer number (57587985).
Almost surely, 21950360672 is an apocalyptic number.
1950360672 is a gapful number since it is divisible by the number (12) 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 1950360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764223280).
1950360672 is an abundant number, since it is smaller than the sum of its proper divisors (3578085888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1950360672 is a wasteful number, since it uses less digits than its factorization.
1950360672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4256 (or 4248 counting only the distinct ones).
The product of its (nonzero) digits is 68040, while the sum is 39.
The square root of 1950360672 is about 44162.8879490461. The cubic root of 1950360672 is about 1249.4099982555.
It can be divided in two parts, 1950 and 360672, that multiplied together give a square (703310400 = 265202).
The spelling of 1950360672 in words is "one billion, nine hundred fifty million, three hundred sixty thousand, six hundred seventy-two".
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