Search a number
-
+
4206300736 = 26114672
BaseRepresentation
bin1111101010110111…
…0000111001000000
3101212010220012212011
43322231300321000
532103303110421
61533215342304
7206143652311
oct37255607100
911763805764
104206300736
111869390000
12994821994
135205a3861
142bc8d6608
151994264e1
hexfab70e40

4206300736 has 105 divisors (see below), whose sum is σ = 9320591595. Its totient is φ = 1883418240.

The previous prime is 4206300691. The next prime is 4206300739. The reversal of 4206300736 is 6370036024.

The square root of 4206300736 is 64856.

It is a perfect power (a square), and thus also a powerful number.

4206300736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4206300698 and 4206300707.

It is not an unprimeable number, because it can be changed into a prime (4206300739) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 62780575 + ... + 62780641.

It is an arithmetic number, because the mean of its divisors is an integer number (88767539).

Almost surely, 24206300736 is an apocalyptic number.

4206300736 is the 64856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4206300736

4206300736 is an abundant number, since it is smaller than the sum of its proper divisors (5114290859).

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

4206300736 is an frugal number, since it uses more digits than its factorization.

4206300736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The cubic root of 4206300736 is about 1614.2350514768.

The spelling of 4206300736 in words is "four billion, two hundred six million, three hundred thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 121 134 176 242 268 352 484 536 704 737 968 1072 1331 1474 1936 2144 2662 2948 3872 4288 4489 5324 5896 7744 8107 8978 10648 11792 14641 16214 17956 21296 23584 29282 32428 35912 42592 47168 49379 58564 64856 71824 85184 89177 98758 117128 129712 143648 178354 197516 234256 259424 287296 356708 395032 468512 518848 543169 713416 790064 937024 980947 1086338 1426832 1580128 1961894 2172676 2853664 3160256 3923788 4345352 5707328 5974859 7847576 8690704 11949718 15695152 17381408 23899436 31390304 34762816 47798872 62780608 65723449 95597744 131446898 191195488 262893796 382390976 525787592 1051575184 2103150368 4206300736