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4122480 = 243589193
BaseRepresentation
bin1111101110011101110000
321202102222110
433232131300
52023404410
6224205320
750016615
oct17563560
97672873
104122480
11236630a
121469840
13b1454b
1479450c
15566720
hex3ee770

4122480 has 80 divisors (see below), whose sum is σ = 12990240. Its totient is φ = 1081344.

The previous prime is 4122479. The next prime is 4122493. The reversal of 4122480 is 842214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21264 + ... + 21456.

It is an arithmetic number, because the mean of its divisors is an integer number (162378).

Almost surely, 24122480 is an apocalyptic number.

4122480 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 4122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495120).

4122480 is an abundant number, since it is smaller than the sum of its proper divisors (8867760).

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

4122480 is a wasteful number, since it uses less digits than its factorization.

4122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4122480 is about 2030.3891252664. The cubic root of 4122480 is about 160.3440513157.

Adding to 4122480 its reverse (842214), we get a palindrome (4964694).

The spelling of 4122480 in words is "four million, one hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 193 240 267 356 386 445 534 579 712 772 890 965 1068 1158 1335 1424 1544 1780 1930 2136 2316 2670 2895 3088 3560 3860 4272 4632 5340 5790 7120 7720 9264 10680 11580 15440 17177 21360 23160 34354 46320 51531 68708 85885 103062 137416 171770 206124 257655 274832 343540 412248 515310 687080 824496 1030620 1374160 2061240 4122480