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4040567740 = 22511197431301
BaseRepresentation
bin1111000011010110…
…0010101110111100
3101102121001002221001
43300311202232330
531233341131430
61504535220044
7202062154606
oct36065425674
911377032831
104040567740
111793882390
12949217624
134c51567b1
142a48b4176
15189ada3ca
hexf0d62bbc

4040567740 has 96 divisors (see below), whose sum is σ = 9764375040. Its totient is φ = 1389024000.

The previous prime is 4040567719. The next prime is 4040567749. The reversal of 4040567740 is 477650404.

It is a self number, because there is not a number n which added to its sum of digits gives 4040567740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040567749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105090 + ... + 3106390.

It is an arithmetic number, because the mean of its divisors is an integer number (101712240).

Almost surely, 24040567740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040567740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882187520).

4040567740 is an abundant number, since it is smaller than the sum of its proper divisors (5723807300).

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

4040567740 is a wasteful number, since it uses less digits than its factorization.

4040567740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 4040567740 is about 63565.4602752155. The cubic root of 4040567740 is about 1592.7494509045.

The spelling of 4040567740 in words is "four billion, forty million, five hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 743 836 1045 1301 1486 2090 2602 2972 3715 4180 5204 6505 7430 8173 13010 14117 14311 14860 16346 24719 26020 28234 28622 32692 40865 49438 56468 57244 70585 71555 81730 98876 123595 141170 143110 155287 163460 247190 271909 282340 286220 310574 494380 543818 621148 776435 966643 1087636 1359545 1552870 1933286 2719090 3105740 3866572 4833215 5438180 9666430 10633073 18366217 19332860 21266146 36732434 42532292 53165365 73464868 91831085 106330730 183662170 202028387 212661460 367324340 404056774 808113548 1010141935 2020283870 4040567740