Search a number
-
+
4107480 = 2335132633
BaseRepresentation
bin1111101010110011011000
321201200101220
433222303120
52022414410
6224012040
746625106
oct17526330
97650356
104107480
112356013
121461020
13b0a780
1478cc76
15562070
hex3eacd8

4107480 has 64 divisors (see below), whose sum is σ = 13275360. Its totient is φ = 1010688.

The previous prime is 4107479. The next prime is 4107487. The reversal of 4107480 is 847014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4107480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107487) 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, 244 + ... + 2876.

Almost surely, 24107480 is an apocalyptic number.

4107480 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 4107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637680).

4107480 is an abundant number, since it is smaller than the sum of its proper divisors (9167880).

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

4107480 is a wasteful number, since it uses less digits than its factorization.

4107480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4107480 is about 2026.6918858080. The cubic root of 4107480 is about 160.1493397336.

The spelling of 4107480 in words is "four million, one hundred seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2633 5266 7899 10532 13165 15798 21064 26330 31596 34229 39495 52660 63192 68458 78990 102687 105320 136916 157980 171145 205374 273832 315960 342290 410748 513435 684580 821496 1026870 1369160 2053740 4107480