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4199130 = 2325133797
BaseRepresentation
bin10000000001001011011010
321220100010100
4100001023122
52033333010
6230000230
750456235
oct20011332
97810110
104199130
112408961
1214a6076
13b403c0
147b441c
1557e2c0
hex4012da

4199130 has 96 divisors (see below), whose sum is σ = 12199824. Its totient is φ = 995328.

The previous prime is 4199077. The next prime is 4199131. The reversal of 4199130 is 319914.

It can be written as a sum of positive squares in 8 ways, for example, as 1830609 + 2368521 = 1353^2 + 1539^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4199094 and 4199103.

It is not an unprimeable number, because it can be changed into a prime (4199131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43242 + ... + 43338.

Almost surely, 24199130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099912).

4199130 is an abundant number, since it is smaller than the sum of its proper divisors (8000694).

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

4199130 is a wasteful number, since it uses less digits than its factorization.

4199130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 4199130 is about 2049.1778839330. The cubic root of 4199130 is about 161.3317234925.

The spelling of 4199130 in words is "four million, one hundred ninety-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 97 111 117 130 185 194 195 222 234 291 333 370 390 481 485 555 582 585 666 873 962 970 1110 1170 1261 1443 1455 1665 1746 2405 2522 2886 2910 3330 3589 3783 4329 4365 4810 6305 7178 7215 7566 8658 8730 10767 11349 12610 14430 17945 18915 21534 21645 22698 32301 35890 37830 43290 46657 53835 56745 64602 93314 107670 113490 139971 161505 233285 279942 323010 419913 466570 699855 839826 1399710 2099565 4199130