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2001692480 = 26514894201
BaseRepresentation
bin111011101001111…
…0110011101000000
312011111112111212112
41313103312131000
513044413124410
6530343114452
7100414051064
oct16723663500
95144474775
102001692480
119379a3207
1247a442a28
1325b91a828
1414dbb9aa4
15baae9105
hex774f6740

2001692480 has 56 divisors (see below), whose sum is σ = 4770866760. Its totient is φ = 799948800.

The previous prime is 2001692479. The next prime is 2001692513. The reversal of 2001692480 is 842961002.

It can be written as a sum of positive squares in 4 ways, for example, as 21086464 + 1980606016 = 4592^2 + 44504^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 474380 + ... + 478580.

Almost surely, 22001692480 is an apocalyptic number.

2001692480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001692480 is an abundant number, since it is smaller than the sum of its proper divisors (2769174280).

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

2001692480 is a wasteful number, since it uses less digits than its factorization.

2001692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2001692480 is about 44740.2780500971. The cubic root of 2001692480 is about 1260.2763482209.

The spelling of 2001692480 in words is "two billion, one million, six hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1489 2978 4201 5956 7445 8402 11912 14890 16804 21005 23824 29780 33608 42010 47648 59560 67216 84020 95296 119120 134432 168040 238240 268864 336080 476480 672160 1344320 6255289 12510578 25021156 31276445 50042312 62552890 100084624 125105780 200169248 250211560 400338496 500423120 1000846240 2001692480