Search a number
-
+
2053383720 = 233531155021
BaseRepresentation
bin111101001100100…
…0010011000101000
312022002210200220220
41322121002120220
513201131234340
6535431050040
7101612321313
oct17231023050
95262720826
102053383720
11964099643
12493810920
1326954896b
141569d397a
15c0409ed0
hex7a642628

2053383720 has 64 divisors (see below), whose sum is σ = 6180071040. Its totient is φ = 545798400.

The previous prime is 2053383697. The next prime is 2053383727. The reversal of 2053383720 is 273833502.

It is a super-2 number, since 2×20533837202 = 8432769403122076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2053383727) by changing a digit.

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, 9810 + ... + 64830.

It is an arithmetic number, because the mean of its divisors is an integer number (96563610).

Almost surely, 22053383720 is an apocalyptic number.

2053383720 is a gapful number since it is divisible by the number (20) 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 2053383720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090035520).

2053383720 is an abundant number, since it is smaller than the sum of its proper divisors (4126687320).

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

2053383720 is a wasteful number, since it uses less digits than its factorization.

2053383720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55346 (or 55342 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2053383720 is about 45314.2772203199. The cubic root of 2053383720 is about 1271.0326443237.

The spelling of 2053383720 in words is "two billion, fifty-three million, three hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 18660 37320 55021 110042 165063 220084 275105 330126 440168 550210 660252 825315 1100420 1320504 1650630 2200840 3301260 6602520 17111531 34223062 51334593 68446124 85557655 102669186 136892248 171115310 205338372 256672965 342230620 410676744 513345930 684461240 1026691860 2053383720