Search a number
-
+
4016536080 = 2435313671471
BaseRepresentation
bin1110111101100111…
…0111101000010000
3101100220211011200120
43233121313220100
531211213123310
61502320150240
7201350664504
oct35731675020
911326734616
104016536080
111781259007
12941168380
134c019128b
142a161a304
1518793eb70
hexef677a10

4016536080 has 160 divisors (see below), whose sum is σ = 12896698368. Its totient is φ = 1032998400.

The previous prime is 4016536079. The next prime is 4016536087. The reversal of 4016536080 is 806356104.

It is a super-2 number, since 2×40165360802 = 32265124163883532800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4016536087) 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, 2729745 + ... + 2731215.

Almost surely, 24016536080 is an apocalyptic number.

4016536080 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 4016536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448349184).

4016536080 is an abundant number, since it is smaller than the sum of its proper divisors (8880162288).

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

4016536080 is a wasteful number, since it uses less digits than its factorization.

4016536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4016536080 is about 63376.1475635747. The cubic root of 4016536080 is about 1589.5854937848.

It can be divided in two parts, 40165 and 36080, that added together give a triangular number (76245 = T390).

The spelling of 4016536080 in words is "four billion, sixteen million, five hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 367 372 465 496 620 734 744 930 1101 1240 1468 1471 1488 1835 1860 2202 2480 2936 2942 3670 3720 4404 4413 5505 5872 5884 7340 7355 7440 8808 8826 11010 11377 11768 14680 14710 17616 17652 22020 22065 22754 23536 29360 29420 34131 35304 44040 44130 45508 45601 56885 58840 68262 70608 88080 88260 91016 91202 113770 117680 136524 136803 170655 176520 182032 182404 227540 228005 273048 273606 341310 353040 364808 455080 456010 539857 546096 547212 682620 684015 729616 910160 912020 1079714 1094424 1365240 1368030 1619571 1824040 2159428 2188848 2699285 2730480 2736060 3239142 3648080 4318856 5398570 5472120 6478284 8097855 8637712 10797140 10944240 12956568 16195710 16735567 21594280 25913136 32391420 33471134 43188560 50206701 64782840 66942268 83677835 100413402 129565680 133884536 167355670 200826804 251033505 267769072 334711340 401653608 502067010 669422680 803307216 1004134020 1338845360 2008268040 4016536080