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2047674640 = 245112326903
BaseRepresentation
bin111101000001101…
…0000100100010000
312021201001122112111
41322003100210100
513143201042030
6535104435104
7101512642624
oct17203204420
95251048474
102047674640
1196094a2a0
12491918a94
132682ca1cb
14155d49184
15beb7d62a
hex7a0d0910

2047674640 has 40 divisors (see below), whose sum is σ = 5193649728. Its totient is φ = 744608640.

The previous prime is 2047674619. The next prime is 2047674641. The reversal of 2047674640 is 464767402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2047674593 and 2047674602.

It is not an unprimeable number, because it can be changed into a prime (2047674641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162572 + ... + 1164331.

Almost surely, 22047674640 is an apocalyptic number.

2047674640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2047674640 is an abundant number, since it is smaller than the sum of its proper divisors (3145975088).

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

2047674640 is a wasteful number, since it uses less digits than its factorization.

2047674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326927 (or 2326921 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 2047674640 is about 45251.2390990567. The cubic root of 2047674640 is about 1269.8535884288.

The spelling of 2047674640 in words is "two billion, forty-seven million, six hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2326903 4653806 9307612 11634515 18615224 23269030 25595933 37230448 46538060 51191866 93076120 102383732 127979665 186152240 204767464 255959330 409534928 511918660 1023837320 2047674640