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4199260 = 2251331521
BaseRepresentation
bin10000000001001101011100
321220100022011
4100001031130
52033334020
6230001004
750456512
oct20011534
97810264
104199260
112408a6a
1214a6164
13b40490
147b44b2
1557e35a
hex40135c

4199260 has 48 divisors (see below), whose sum is σ = 9821952. Its totient is φ = 1497600.

The previous prime is 4199257. The next prime is 4199269. The reversal of 4199260 is 629914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7800 + ... + 8320.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

Almost surely, 24199260 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 4199260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976).

4199260 is an abundant number, since it is smaller than the sum of its proper divisors (5622692).

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

4199260 is a wasteful number, since it uses less digits than its factorization.

4199260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 4199260 is about 2049.2096037253. The cubic root of 4199260 is about 161.3333883538. Note that the first 4 decimals are identical.

4199260 divided by its sum of digits (31) gives a triangular number (135460 = T520).

The spelling of 4199260 in words is "four million, one hundred ninety-nine thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 521 620 806 1042 1612 2015 2084 2605 4030 5210 6773 8060 10420 13546 16151 27092 32302 33865 64604 67730 80755 135460 161510 209963 323020 419926 839852 1049815 2099630 4199260