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4700980 = 2251989139
BaseRepresentation
bin10001111011101100110100
322211211112101
4101323230310
52200412410
6244431444
754646324
oct21735464
98754471
104700980
112720a09
1216a8584
13c8795b
148a5284
1562cd3a
hex47bb34

4700980 has 48 divisors (see below), whose sum is σ = 10584000. Its totient is φ = 1748736.

The previous prime is 4700963. The next prime is 4700989. The reversal of 4700980 is 890074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4700989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33751 + ... + 33889.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 24700980 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 4700980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000).

4700980 is an abundant number, since it is smaller than the sum of its proper divisors (5883020).

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

4700980 is a wasteful number, since it uses less digits than its factorization.

4700980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 4700980 is about 2168.1743472332. The cubic root of 4700980 is about 167.5185098725.

Subtracting from 4700980 its product of nonzero digits (2016), we obtain a palindrome (4698964).

It can be divided in two parts, 47009 and 80, that added together give a square (47089 = 2172).

The spelling of 4700980 in words is "four million, seven hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 139 178 190 278 356 380 445 556 695 890 1390 1691 1780 2641 2780 3382 5282 6764 8455 10564 12371 13205 16910 24742 26410 33820 49484 52820 61855 123710 235049 247420 470098 940196 1175245 2350490 4700980