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2068683600 = 243521723903
BaseRepresentation
bin111101101001101…
…1001101101010000
312100011121000102010
41323103121231100
513214040333400
6541135022520
7102156343344
oct17323315520
95304530363
102068683600
11971799675
1249896aa40
1326c774949
14158a57624
15c192d450
hex7b4d9b50

2068683600 has 60 divisors (see below), whose sum is σ = 6626686976. Its totient is φ = 551648640.

The previous prime is 2068683587. The next prime is 2068683601. The reversal of 2068683600 is 63868602.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068683601) 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 11 ways as a sum of consecutive naturals, for example, 860752 + ... + 863151.

Almost surely, 22068683600 is an apocalyptic number.

2068683600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068683600 is an abundant number, since it is smaller than the sum of its proper divisors (4558003376).

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

2068683600 is a wasteful number, since it uses less digits than its factorization.

2068683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723924 (or 1723913 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2068683600 is about 45482.7835559786. The cubic root of 2068683600 is about 1274.1816817443.

The spelling of 2068683600 in words is "two billion, sixty-eight million, six hundred eighty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1723903 3447806 5171709 6895612 8619515 10343418 13791224 17239030 20686836 25858545 27582448 34478060 41373672 43097575 51717090 68956120 82747344 86195150 103434180 129292725 137912240 172390300 206868360 258585450 344780600 413736720 517170900 689561200 1034341800 2068683600