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2040005500 = 2253132831109
BaseRepresentation
bin111100110011000…
…0000001101111100
312021011122000110021
41321212000031330
513134220134000
6534232221524
7101360521621
oct17146001574
95234560407
102040005500
11957591365
1248b23a8a4
13266843560
14154d10348
15be16611a
hex7998037c

2040005500 has 96 divisors (see below), whose sum is σ = 4819389120. Its totient is φ = 749894400.

The previous prime is 2040005497. The next prime is 2040005503. The reversal of 2040005500 is 55000402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2040005497) and next prime (2040005503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040005503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838946 + ... + 1840054.

It is an arithmetic number, because the mean of its divisors is an integer number (50201970).

Almost surely, 22040005500 is an apocalyptic number.

2040005500 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 2040005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409694560).

2040005500 is an abundant number, since it is smaller than the sum of its proper divisors (2779383620).

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

2040005500 is a wasteful number, since it uses less digits than its factorization.

2040005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2040005500 is about 45166.4200485272. The cubic root of 2040005500 is about 1268.2662808567.

Adding to 2040005500 its reverse (55000402), we get a palindrome (2095005902).

The spelling of 2040005500 in words is "two billion, forty million, five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 283 325 500 566 650 1109 1132 1300 1415 1625 2218 2830 3250 3679 4436 5545 5660 6500 7075 7358 11090 14150 14417 14716 18395 22180 27725 28300 28834 35375 36790 55450 57668 70750 72085 73580 91975 110900 138625 141500 144170 183950 277250 288340 313847 360425 367900 459875 554500 627694 720850 919750 1255388 1441700 1569235 1802125 1839500 3138470 3604250 4080011 6276940 7208500 7846175 8160022 15692350 16320044 20400055 31384700 39230875 40800110 78461750 81600220 102000275 156923500 204000550 408001100 510001375 1020002750 2040005500