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2106384600 = 233523510641
BaseRepresentation
bin111110110001100…
…1110000011011000
312102210112102110110
41331203032003120
513303213301400
6545003044320
7103124654655
oct17543160330
95383472413
102106384600
11990aa9a21
124a95106a0
13277514c28
1415da6cc2c
15c4dc8e50
hex7d8ce0d8

2106384600 has 48 divisors (see below), whose sum is σ = 6529794120. Its totient is φ = 561702400.

The previous prime is 2106384587. The next prime is 2106384607. The reversal of 2106384600 is 64836012.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106384607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1754721 + ... + 1755920.

Almost surely, 22106384600 is an apocalyptic number.

2106384600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106384600 is an abundant number, since it is smaller than the sum of its proper divisors (4423409520).

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

2106384600 is a wasteful number, since it uses less digits than its factorization.

2106384600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510660 (or 3510651 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2106384600 is about 45895.3657791285. The cubic root of 2106384600 is about 1281.8756275154.

The spelling of 2106384600 in words is "two billion, one hundred six million, three hundred eighty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3510641 7021282 10531923 14042564 17553205 21063846 28085128 35106410 42127692 52659615 70212820 84255384 87766025 105319230 140425640 175532050 210638460 263298075 351064100 421276920 526596150 702128200 1053192300 2106384600