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2106093900 = 2235223305231
BaseRepresentation
bin111110110001000…
…0111000101001100
312102202222122200210
41331202013011030
513303130001100
6544552522420
7103122334311
oct17542070514
95382878623
102106093900
11990920579
124a93b0410
13277442811
1415d9d4d08
15c4d6cc50
hex7d88714c

2106093900 has 72 divisors (see below), whose sum is σ = 6358593024. Its totient is φ = 537204800.

The previous prime is 2106093889. The next prime is 2106093901. The reversal of 2106093900 is 93906012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2106093901) 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, 145716 + ... + 159515.

It is an arithmetic number, because the mean of its divisors is an integer number (88313792).

Almost surely, 22106093900 is an apocalyptic number.

2106093900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106093900 is an abundant number, since it is smaller than the sum of its proper divisors (4252499124).

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

2106093900 is a wasteful number, since it uses less digits than its factorization.

2106093900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305271 (or 305264 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2106093900 is about 45892.1986834364. The cubic root of 2106093900 is about 1281.8166546845.

Adding to 2106093900 its reverse (93906012), we get a palindrome (2199999912).

It can be divided in two parts, 21060 and 93900, that added together give a triangular number (114960 = T479).

The spelling of 2106093900 in words is "two billion, one hundred six million, ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 305231 610462 915693 1220924 1526155 1831386 3052310 3662772 4578465 6104620 7020313 7630775 9156930 14040626 15261550 18313860 21060939 22892325 28081252 30523100 35101565 42121878 45784650 70203130 84243756 91569300 105304695 140406260 175507825 210609390 351015650 421218780 526523475 702031300 1053046950 2106093900