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4020045640 = 2351310772251
BaseRepresentation
bin1110111110011101…
…0000011101001000
3101101011102110220021
43233213100131020
531213112430030
61502523310224
7201422552452
oct35747203510
911334373807
104020045640
111783235876
1294237b374
134c0b1c840
142a1c912d2
15187dd497a
hexef9d0748

4020045640 has 64 divisors (see below), whose sum is σ = 9832052160. Its totient is φ = 1470432000.

The previous prime is 4020045637. The next prime is 4020045647. The reversal of 4020045640 is 465400204.

It is not an unprimeable number, because it can be changed into a prime (4020045647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19515 + ... + 91765.

It is an arithmetic number, because the mean of its divisors is an integer number (153625815).

Almost surely, 24020045640 is an apocalyptic number.

4020045640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916026080).

4020045640 is an abundant number, since it is smaller than the sum of its proper divisors (5812006520).

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

4020045640 is a wasteful number, since it uses less digits than its factorization.

4020045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72382 (or 72378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4020045640 is about 63403.8298527778. The cubic root of 4020045640 is about 1590.0483404999.

Adding to 4020045640 its reverse (465400204), we get a palindrome (4485445844).

The spelling of 4020045640 in words is "four billion, twenty million, forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 5564 6955 11128 13910 27820 55640 72251 144502 289004 361255 578008 722510 939263 1445020 1878526 2890040 3757052 4696315 7514104 7730857 9392630 15461714 18785260 30923428 37570520 38654285 61846856 77308570 100501141 154617140 201002282 309234280 402004564 502505705 804009128 1005011410 2010022820 4020045640