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10195380 = 22325134357
BaseRepresentation
bin100110111001…
…000110110100
3201011222102200
4212321012310
510102223010
61002304500
7152442066
oct46710664
921158380
1010195380
115833a38
1234b8130
13215c790
1414d5736
15d65cc0
hex9b91b4

10195380 has 72 divisors (see below), whose sum is σ = 33312552. Its totient is φ = 2509056.

The previous prime is 10195363. The next prime is 10195397. The reversal of 10195380 is 8359101.

10195380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10195363) and next prime (10195397).

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 7817616 = 1542^2 + 2796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162 + ... + 4518.

Almost surely, 210195380 is an apocalyptic number.

10195380 is a gapful number since it is divisible by the number (10) 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 10195380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656276).

10195380 is an abundant number, since it is smaller than the sum of its proper divisors (23117172).

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

10195380 is a wasteful number, since it uses less digits than its factorization.

10195380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10195380 is about 3193.0205135577. The cubic root of 10195380 is about 216.8375404190.

It can be divided in two parts, 101 and 95380, that added together give a square (95481 = 3092).

The spelling of 10195380 in words is "ten million, one hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4357 8714 13071 17428 21785 26142 39213 43570 52284 56641 65355 78426 87140 113282 130710 156852 169923 196065 226564 261420 283205 339846 392130 509769 566410 679692 784260 849615 1019538 1132820 1699230 2039076 2548845 3398460 5097690 10195380