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2001672630 = 232522240807
BaseRepresentation
bin111011101001111…
…0001100110110110
312011111111111122100
41313103301212312
513044412011010
6530342442530
7100413636156
oct16723614666
95144444570
102001672630
1193798a301
1247a433446
1325b911799
1414dbb2766
15baae32c0
hex774f19b6

2001672630 has 24 divisors (see below), whose sum is σ = 5204349072. Its totient is φ = 533779344.

The previous prime is 2001672619. The next prime is 2001672643. The reversal of 2001672630 is 362761002.

It is a happy number.

2001672630 is a `hidden beast` number, since 20 + 0 + 1 + 6 + 7 + 2 + 630 = 666.

It is a super-2 number, since 2×20016726302 = 8013386635382233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001672594 and 2001672603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11120314 + ... + 11120493.

It is an arithmetic number, because the mean of its divisors is an integer number (216847878).

Almost surely, 22001672630 is an apocalyptic number.

2001672630 is an abundant number, since it is smaller than the sum of its proper divisors (3202676442).

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

2001672630 is a wasteful number, since it uses less digits than its factorization.

2001672630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22240820 (or 22240817 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2001672630 is about 44740.0562136437. The cubic root of 2001672630 is about 1260.2721823182.

The spelling of 2001672630 in words is "two billion, one million, six hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22240807 44481614 66722421 111204035 133444842 200167263 222408070 333612105 400334526 667224210 1000836315 2001672630