Search a number
-
+
2731920 = 243511383
BaseRepresentation
bin1010011010111110010000
312010210111020
422122332100
51144410140
6134315440
732135532
oct12327620
95123436
102731920
1115a6594
12ab8b80
13748629
14511852
1538e6d0
hex29af90

2731920 has 40 divisors (see below), whose sum is σ = 8469696. Its totient is φ = 728448.

The previous prime is 2731909. The next prime is 2731921. The reversal of 2731920 is 291372.

2731920 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2731921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5452 + ... + 5931.

22731920 is an apocalyptic number.

2731920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2731920 is an abundant number, since it is smaller than the sum of its proper divisors (5737776).

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

2731920 is a wasteful number, since it uses less digits than its factorization.

2731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2731920 is about 1652.8520804960. The cubic root of 2731920 is about 139.7942556087.

The spelling of 2731920 in words is "two million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11383 22766 34149 45532 56915 68298 91064 113830 136596 170745 182128 227660 273192 341490 455320 546384 682980 910640 1365960 2731920