Search a number
-
+
2000038140 = 2232523587823
BaseRepresentation
bin111011100110110…
…0010100011111100
312011101102110112200
41313031202203330
513044002210030
6530243431500
7100364020662
oct16715424374
95141373480
102000038140
11936a73291
12479985590
1325b48b829
1414d8a8c32
15ba8bdd60
hex773628fc

2000038140 has 144 divisors (see below), whose sum is σ = 6349045248. Its totient is φ = 508666752.

The previous prime is 2000038127. The next prime is 2000038147. The reversal of 2000038140 is 418300002.

It is a happy number.

It is a super-2 number, since 2×20000381402 = 8000305122909319200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000038147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2429769 + ... + 2430591.

It is an arithmetic number, because the mean of its divisors is an integer number (44090592).

Almost surely, 22000038140 is an apocalyptic number.

2000038140 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 2000038140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174522624).

2000038140 is an abundant number, since it is smaller than the sum of its proper divisors (4349007108).

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

2000038140 is a wasteful number, since it uses less digits than its factorization.

2000038140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2000038140 is about 44721.7859661262. The cubic root of 2000038140 is about 1259.9290587421.

Adding to 2000038140 its reverse (418300002), we get a palindrome (2418338142).

The spelling of 2000038140 in words is "two billion, thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 587 690 823 828 1035 1174 1380 1646 1761 2070 2348 2469 2935 3292 3522 4115 4140 4938 5283 5870 7044 7407 8230 8805 9876 10566 11740 12345 13501 14814 16460 17610 18929 21132 24690 26415 27002 29628 35220 37035 37858 40503 49380 52830 54004 56787 67505 74070 75716 81006 94645 105660 113574 121509 135010 148140 162012 170361 189290 202515 227148 243018 270020 283935 340722 378580 405030 483101 486036 567870 607545 681444 810060 851805 966202 1135740 1215090 1449303 1703610 1932404 2415505 2430180 2898606 3407220 4347909 4831010 5797212 7246515 8695818 9662020 11111323 14493030 17391636 21739545 22222646 28986060 33333969 43479090 44445292 55556615 66667938 86958180 100001907 111113230 133335876 166669845 200003814 222226460 333339690 400007628 500009535 666679380 1000019070 2000038140