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4120680 = 2335231493
BaseRepresentation
bin1111101110000001101000
321202100111210
433232001220
52023330210
6224153120
750011434
oct17560150
97670453
104120680
112364a23
1214687a0
13b13795
147939c4
15565e20
hex3ee068

4120680 has 64 divisors (see below), whose sum is σ = 12908160. Its totient is φ = 1050368.

The previous prime is 4120679. The next prime is 4120709. The reversal of 4120680 is 860214.

4120680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2014 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (201690).

Almost surely, 24120680 is an apocalyptic number.

4120680 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 4120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454080).

4120680 is an abundant number, since it is smaller than the sum of its proper divisors (8787480).

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

4120680 is a wasteful number, since it uses less digits than its factorization.

4120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4120680 is about 2029.9458120846. The cubic root of 4120680 is about 160.3207108904.

Adding to 4120680 its reverse (860214), we get a palindrome (4980894).

The spelling of 4120680 in words is "four million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1493 2760 2986 4479 5972 7465 8958 11944 14930 17916 22395 29860 34339 35832 44790 59720 68678 89580 103017 137356 171695 179160 206034 274712 343390 412068 515085 686780 824136 1030170 1373560 2060340 4120680