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4003102240 = 25541610229
BaseRepresentation
bin1110111010011010…
…0111111000100000
3101022222112122220221
43232212213320200
531144243232430
61501120212424
7201125544004
oct35646477040
911288478827
104003102240
111774712a65
1293876a114
134ba469767
1429d920704
1518668957a
hexee9a7e20

4003102240 has 48 divisors (see below), whose sum is σ = 9688011480. Its totient is φ = 1562183680.

The previous prime is 4003102237. The next prime is 4003102273. The reversal of 4003102240 is 422013004.

It can be written as a sum of positive squares in 4 ways, for example, as 3153496336 + 849605904 = 56156^2 + 29148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 298555 + ... + 311674.

Almost surely, 24003102240 is an apocalyptic number.

4003102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003102240 is an abundant number, since it is smaller than the sum of its proper divisors (5684909240).

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

4003102240 is a wasteful number, since it uses less digits than its factorization.

4003102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610285 (or 610277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4003102240 is about 63270.0738106097. The cubic root of 4003102240 is about 1587.8113208437.

Adding to 4003102240 its reverse (422013004), we get a palindrome (4425115244).

The spelling of 4003102240 in words is "four billion, three million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 610229 1220458 2440916 3051145 4881832 6102290 9763664 12204580 19527328 24409160 25019389 48818320 50038778 97636640 100077556 125096945 200155112 250193890 400310224 500387780 800620448 1000775560 2001551120 4003102240