Search a number
-
+
1120002400 = 255211137929
BaseRepresentation
bin100001011000001…
…1110000101100000
32220001111000110101
41002300132011200
54243210034100
6303045312144
736516602056
oct10260360540
92801430411
101120002400
11525237420
12273105654
1314b06521a
14a8a681d6
15684d786a
hex42c1e160

1120002400 has 144 divisors (see below), whose sum is σ = 3007776240. Its totient is φ = 403865600.

The previous prime is 1120002391. The next prime is 1120002409. The reversal of 1120002400 is 42000211.

It is an interprime number because it is at equal distance from previous prime (1120002391) and next prime (1120002409).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120002409) 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 23 ways as a sum of consecutive naturals, for example, 1205136 + ... + 1206064.

It is an arithmetic number, because the mean of its divisors is an integer number (20887335).

Almost surely, 21120002400 is an apocalyptic number.

1120002400 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 1120002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503888120).

1120002400 is an abundant number, since it is smaller than the sum of its proper divisors (1887773840).

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

1120002400 is a wasteful number, since it uses less digits than its factorization.

1120002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1120002400 is about 33466.4369182021. The cubic root of 1120002400 is about 1038.4995621546.

Adding to 1120002400 its reverse (42000211), we get a palindrome (1162002611).

The spelling of 1120002400 in words is "one billion, one hundred twenty million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 137 160 176 200 220 274 275 352 400 440 548 550 685 800 880 929 1096 1100 1370 1507 1760 1858 2192 2200 2740 3014 3425 3716 4384 4400 4645 5480 6028 6850 7432 7535 8800 9290 10219 10960 12056 13700 14864 15070 18580 20438 21920 23225 24112 27400 29728 30140 37160 37675 40876 46450 48224 51095 54800 60280 74320 75350 81752 92900 102190 109600 120560 127273 148640 150700 163504 185800 204380 241120 254546 255475 301400 327008 371600 408760 509092 510950 602800 636365 743200 817520 1018184 1021900 1205600 1272730 1400003 1635040 2036368 2043800 2545460 2800006 3181825 4072736 4087600 5090920 5600012 6363650 7000015 8175200 10181840 11200024 12727300 14000030 20363680 22400048 25454600 28000060 35000075 44800096 50909200 56000120 70000150 101818400 112000240 140000300 224000480 280000600 560001200 1120002400