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4198080 = 26354373
BaseRepresentation
bin10000000000111011000000
321220021200110
4100000323000
52033314310
6225551320
750453205
oct20007300
97807613
104198080
112408097
1214a5540
13b3ca93
147b3cac
1557dd20
hex400ec0

4198080 has 56 divisors (see below), whose sum is σ = 13331952. Its totient is φ = 1119232.

The previous prime is 4198079. The next prime is 4198093. The reversal of 4198080 is 808914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 3146.

Almost surely, 24198080 is an apocalyptic number.

4198080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4198080 is an abundant number, since it is smaller than the sum of its proper divisors (9133872).

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

4198080 is a wasteful number, since it uses less digits than its factorization.

4198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 4198080 is about 2048.9216676096. The cubic root of 4198080 is about 161.3182752758.

The spelling of 4198080 in words is "four million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4373 8746 13119 17492 21865 26238 34984 43730 52476 65595 69968 87460 104952 131190 139936 174920 209904 262380 279872 349840 419808 524760 699680 839616 1049520 1399360 2099040 4198080