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3146130 = 2325132689
BaseRepresentation
bin1100000000000110010010
312220211200100
430000012102
51301134010
6151233230
735512251
oct14000622
95824610
103146130
111859809
121078816
13862020
145bc798
154222c0
hex300192

3146130 has 48 divisors (see below), whose sum is σ = 8812440. Its totient is φ = 774144.

The previous prime is 3146107. The next prime is 3146131. The reversal of 3146130 is 316413.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 2099601 = 1023^2 + 1449^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3146131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175 + ... + 2514.

Almost surely, 23146130 is an apocalyptic number.

3146130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406220).

3146130 is an abundant number, since it is smaller than the sum of its proper divisors (5666310).

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

3146130 is a wasteful number, since it uses less digits than its factorization.

3146130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3146130 is about 1773.7333508732. The cubic root of 3146130 is about 146.5296643056.

The spelling of 3146130 in words is "three million, one hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2689 5378 8067 13445 16134 24201 26890 34957 40335 48402 69914 80670 104871 121005 174785 209742 242010 314613 349570 524355 629226 1048710 1573065 3146130