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1996207605 = 335723293167
BaseRepresentation
bin111011011111011…
…1011010111110101
312011010012212001000
41312332323113311
513042012120410
6530025353513
7100316325150
oct16676732765
95133185030
101996207605
11934897357
12478638899
1325a74a142
1414d18cc97
15ba3b3dc0
hex76fbb5f5

1996207605 has 128 divisors (see below), whose sum is σ = 4379443200. Its totient is φ = 842510592.

The previous prime is 1996207601. The next prime is 1996207607. The reversal of 1996207605 is 5067026991.

It is a happy number.

1996207605 is a `hidden beast` number, since 19 + 9 + 6 + 20 + 7 + 605 = 666.

It is not a de Polignac number, because 1996207605 - 22 = 1996207601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996207601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628732 + ... + 631898.

It is an arithmetic number, because the mean of its divisors is an integer number (34214400).

Almost surely, 21996207605 is an apocalyptic number.

1996207605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1996207605 is an abundant number, since it is smaller than the sum of its proper divisors (2383235595).

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

1996207605 is a wasteful number, since it uses less digits than its factorization.

1996207605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1996207605 is about 44678.9391660097. The cubic root of 1996207605 is about 1259.1241929681.

The spelling of 1996207605 in words is "one billion, nine hundred ninety-six million, two hundred seven thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 23 27 29 35 45 63 69 87 105 115 135 145 161 189 203 207 261 315 345 435 483 609 621 667 783 805 945 1015 1035 1305 1449 1827 2001 2415 3045 3105 3167 3335 3915 4347 4669 5481 6003 7245 9135 9501 10005 14007 15835 18009 21735 22169 23345 27405 28503 30015 42021 47505 66507 70035 72841 85509 90045 91843 110845 126063 142515 199521 210105 218523 275529 332535 364205 427545 459215 509887 598563 630315 642901 655569 826587 997605 1092615 1377645 1529661 1928703 1966707 2112389 2479761 2549435 2992815 3214505 3277845 4132935 4588983 5786109 6337167 7648305 9643515 9833535 10561945 12398805 13766949 14786723 17358327 19011501 22944915 28930545 31685835 44360169 57034503 68834745 73933615 86791635 95057505 133080507 221800845 285172515 399241521 665402535 1996207605