Search a number
-
+
4080700 = 2252134373
BaseRepresentation
bin1111100100010000111100
321200022200001
433210100330
52021040300
6223244044
746454041
oct17442074
97608601
104080700
112337988
121449624
13acb520
147831c8
1555916a
hex3e443c

4080700 has 72 divisors (see below), whose sum is σ = 9891728. Its totient is φ = 1451520.

The previous prime is 4080691. The next prime is 4080707. The reversal of 4080700 is 70804.

It is a happy number.

4080700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40807002 = 33304224980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55864 + ... + 55936.

Almost surely, 24080700 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 4080700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945864).

4080700 is an abundant number, since it is smaller than the sum of its proper divisors (5811028).

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

4080700 is a wasteful number, since it uses less digits than its factorization.

4080700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4080700 is about 2020.0742560609. The cubic root of 4080700 is about 159.8005326833.

The spelling of 4080700 in words is "four million, eighty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 73 86 100 130 146 172 215 260 292 325 365 430 559 650 730 860 949 1075 1118 1300 1460 1825 1898 2150 2236 2795 3139 3650 3796 4300 4745 5590 6278 7300 9490 11180 12556 13975 15695 18980 23725 27950 31390 40807 47450 55900 62780 78475 81614 94900 156950 163228 204035 313900 408070 816140 1020175 2040350 4080700