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2106533700 = 2232523175503
BaseRepresentation
bin111110110001111…
…0010011101000100
312102210210222222200
41331203302131010
513303233034300
6545010154500
7103126145445
oct17543623504
95383728880
102106533700
119910a0a47
124a9582a30
13277567a5b
1415daab2cc
15c4e08200
hex7d8f2744

2106533700 has 108 divisors (see below), whose sum is σ = 6815897088. Its totient is φ = 543614400.

The previous prime is 2106533651. The next prime is 2106533701. The reversal of 2106533700 is 73356012.

It is a happy number.

2106533700 is a `hidden beast` number, since 2 + 1 + 0 + 653 + 3 + 7 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106533701) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9852 + ... + 65651.

Almost surely, 22106533700 is an apocalyptic number.

2106533700 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 2106533700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407948544).

2106533700 is an abundant number, since it is smaller than the sum of its proper divisors (4709363388).

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

2106533700 is a wasteful number, since it uses less digits than its factorization.

2106533700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75554 (or 75544 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2106533700 is about 45896.9900973909. The cubic root of 2106533700 is about 1281.9058725692.

Adding to 2106533700 its reverse (73356012), we get a palindrome (2179889712).

The spelling of 2106533700 in words is "two billion, one hundred six million, five hundred thirty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 75503 151006 226509 302012 377515 453018 679527 755030 906036 1132545 1359054 1510060 1887575 2265090 2340593 2718108 3397635 3775150 4530180 4681186 5662725 6795270 7021779 7550300 9362372 11325450 11702965 13590540 14043558 16988175 21065337 22650900 23405930 28087116 33976350 35108895 42130674 46811860 58514825 67952700 70217790 84261348 105326685 117029650 140435580 175544475 210653370 234059300 351088950 421306740 526633425 702177900 1053266850 2106533700