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4196360 = 235722141
BaseRepresentation
bin10000000000100000001000
321220012022202
4100000200020
52033240420
6225535332
750445200
oct20004010
97805282
104196360
112406873
1214a4548
13b3c06c
147b3400
1557d575
hex400808

4196360 has 48 divisors (see below), whose sum is σ = 10988460. Its totient is φ = 1438080.

The previous prime is 4196347. The next prime is 4196363. The reversal of 4196360 is 636914.

It can be written as a sum of positive squares in 2 ways, for example, as 4008004 + 188356 = 2002^2 + 434^2 .

It is not an unprimeable number, because it can be changed into a prime (4196363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890 + ... + 3030.

Almost surely, 24196360 is an apocalyptic number.

4196360 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 4196360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494230).

4196360 is an abundant number, since it is smaller than the sum of its proper divisors (6792100).

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

4196360 is a wasteful number, since it uses less digits than its factorization.

4196360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 4196360 is about 2048.5018916271. The cubic root of 4196360 is about 161.2962409699.

The spelling of 4196360 in words is "four million, one hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2141 4282 8564 10705 14987 17128 21410 29974 42820 59948 74935 85640 104909 119896 149870 209818 299740 419636 524545 599480 839272 1049090 2098180 4196360