Search a number
-
+
797441120 = 25573532017
BaseRepresentation
bin101111100001111…
…111110001100000
32001120112012120022
4233201333301200
53113121103440
6211043533012
725522065140
oct5741776140
92046465508
10797441120
1137a153353
121a308a168
13c9298268
1477ca0920
154a01dcb5
hex2f87fc60

797441120 has 96 divisors (see below), whose sum is σ = 2160260928. Its totient is φ = 272498688.

The previous prime is 797441081. The next prime is 797441137. The reversal of 797441120 is 21144797.

It is a Cunningham number, because it is equal to 282392-1.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394352 + ... + 396368.

It is an arithmetic number, because the mean of its divisors is an integer number (22502718).

Almost surely, 2797441120 is an apocalyptic number.

797441120 is a gapful number since it is divisible by the number (70) 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 797441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080130464).

797441120 is an abundant number, since it is smaller than the sum of its proper divisors (1362819808).

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

797441120 is a wasteful number, since it uses less digits than its factorization.

797441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 797441120 is about 28238.9999822940. Note that the first 4 decimals coincide. The cubic root of 797441120 is about 927.3269371451.

It can be divided in two parts, 7974 and 41120, that added together give a palindrome (49094).

The spelling of 797441120 in words is "seven hundred ninety-seven million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 353 560 706 1120 1412 1765 2017 2471 2824 3530 4034 4942 5648 7060 8068 9884 10085 11296 12355 14119 14120 16136 19768 20170 24710 28238 28240 32272 39536 40340 49420 56476 56480 64544 70595 79072 80680 98840 112952 141190 161360 197680 225904 282380 322720 395360 451808 564760 712001 1129520 1424002 2259040 2848004 3560005 4984007 5696008 7120010 9968014 11392016 14240020 19936028 22784032 24920035 28480040 39872056 49840070 56960080 79744112 99680140 113920160 159488224 199360280 398720560 797441120