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2000115700 = 22521112131499
BaseRepresentation
bin111011100110111…
…0101011111110100
312011101120101221021
41313031311133310
513044012200300
6530245230524
7100364463052
oct16715653764
95141511837
102000115700
11937016590
12479a02444
1325b4b7c1b
1414d8c91d2
15ba8d6d1a
hex773757f4

2000115700 has 72 divisors (see below), whose sum is σ = 4741884000. Its totient is φ = 726230400.

The previous prime is 2000115661. The next prime is 2000115709. The reversal of 2000115700 is 75110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000115709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333551 + ... + 1335049.

It is an arithmetic number, because the mean of its divisors is an integer number (65859500).

Almost surely, 22000115700 is an apocalyptic number.

2000115700 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 2000115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370942000).

2000115700 is an abundant number, since it is smaller than the sum of its proper divisors (2741768300).

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

2000115700 is a wasteful number, since it uses less digits than its factorization.

2000115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 2000115700 is about 44722.6530966131. The cubic root of 2000115700 is about 1259.9453449040.

Adding to 2000115700 its reverse (75110002), we get a palindrome (2075225702).

The spelling of 2000115700 in words is "two billion, one hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1213 1499 2426 2998 4852 5996 6065 7495 12130 13343 14990 16489 24260 26686 29980 30325 32978 37475 53372 60650 65956 66715 74950 82445 121300 133430 149900 164890 266860 329780 333575 412225 667150 824450 1334300 1648900 1818287 3636574 7273148 9091435 18182870 20001157 36365740 40002314 45457175 80004628 90914350 100005785 181828700 200011570 400023140 500028925 1000057850 2000115700