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1361664600 = 233522269441
BaseRepresentation
bin101000100101001…
…0101101001011000
310111220012201200020
41101022111221120
510242041231400
6343041110440
745512646432
oct12112255130
93456181606
101361664600
1163969584a
12320028420
131891487ca
14ccbb3652
157e8212a0
hex51295a58

1361664600 has 48 divisors (see below), whose sum is σ = 4221162120. Its totient is φ = 363110400.

The previous prime is 1361664533. The next prime is 1361664613. The reversal of 1361664600 is 64661631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134121 + ... + 1135320.

Almost surely, 21361664600 is an apocalyptic number.

1361664600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361664600 is an abundant number, since it is smaller than the sum of its proper divisors (2859497520).

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

1361664600 is a wasteful number, since it uses less digits than its factorization.

1361664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269460 (or 2269451 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1361664600 is about 36900.7398299817. The cubic root of 1361664600 is about 1108.3834923060.

The spelling of 1361664600 in words is "one billion, three hundred sixty-one million, six hundred sixty-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 2269441 4538882 6808323 9077764 11347205 13616646 18155528 22694410 27233292 34041615 45388820 54466584 56736025 68083230 90777640 113472050 136166460 170208075 226944100 272332920 340416150 453888200 680832300 1361664600