Search a number
-
+
1201920 = 2835313
BaseRepresentation
bin100100101011100000000
32021001201120
410211130000
5301430140
641432240
713134066
oct4453400
92231646
101201920
11751025
1249b680
133310c5
14234036
1518b1d0
hex125700

1201920 has 72 divisors (see below), whose sum is σ = 3850896. Its totient is φ = 319488.

The previous prime is 1201919. The next prime is 1201939. The reversal of 1201920 is 291021.

It is a happy number.

It is a super-2 number, since 2×12019202 = 2889223372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3684 + ... + 3996.

21201920 is an apocalyptic number.

1201920 is a gapful number since it is divisible by the number (10) 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 1201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925448).

1201920 is an abundant number, since it is smaller than the sum of its proper divisors (2648976).

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

1201920 is an equidigital number, since it uses as much as digits as its factorization.

1201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1201920 is about 1096.3211208401. The cubic root of 1201920 is about 106.3225018421.

Adding to 1201920 its reverse (291021), we get a palindrome (1492941).

It can be divided in two parts, 120 and 1920, that multiplied together give a square (230400 = 4802).

The spelling of 1201920 in words is "one million, two hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 313 320 384 480 626 640 768 939 960 1252 1280 1565 1878 1920 2504 3130 3756 3840 4695 5008 6260 7512 9390 10016 12520 15024 18780 20032 25040 30048 37560 40064 50080 60096 75120 80128 100160 120192 150240 200320 240384 300480 400640 600960 1201920