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4000132240 = 245133846281
BaseRepresentation
bin1110111001101101…
…0010110010010000
3101022202221202211221
43232123102302100
531143013212430
61500532414424
7201061364056
oct35633226220
911282852757
104000132240
111772a74615
12937777414
134b9969970
1429d38a1d6
1518629e57a
hexee6d2c90

4000132240 has 40 divisors (see below), whose sum is σ = 10015718328. Its totient is φ = 1476971520.

The previous prime is 4000132211. The next prime is 4000132267. The reversal of 4000132240 is 422310004.

4000132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 3753767824 = 15696^2 + 61268^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922101 + ... + 1924180.

Almost surely, 24000132240 is an apocalyptic number.

4000132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000132240 is an abundant number, since it is smaller than the sum of its proper divisors (6015586088).

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

4000132240 is a wasteful number, since it uses less digits than its factorization.

4000132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846307 (or 3846301 counting only the distinct ones).

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

The square root of 4000132240 is about 63246.5986437215. The cubic root of 4000132240 is about 1587.4185449350.

Adding to 4000132240 its reverse (422310004), we get a palindrome (4422442244).

The spelling of 4000132240 in words is "four billion, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3846281 7692562 15385124 19231405 30770248 38462810 50001653 61540496 76925620 100003306 153851240 200006612 250008265 307702480 400013224 500016530 800026448 1000033060 2000066120 4000132240