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4676130 = 234523251
BaseRepresentation
bin10001110101101000100010
322210120110000
4101311220202
52144114010
6244120430
754514014
oct21655042
98716400
104676130
112704278
121696116
13c79554
1489a1b4
156257c0
hex475a22

4676130 has 80 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1188000.

The previous prime is 4676117. The next prime is 4676141. The reversal of 4676130 is 316764.

4676130 is a `hidden beast` number, since 46 + 7 + 613 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4676094 and 4676103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18505 + ... + 18755.

Almost surely, 24676130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4676130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

4676130 is an abundant number, since it is smaller than the sum of its proper divisors (8496414).

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

4676130 is a wasteful number, since it uses less digits than its factorization.

4676130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4676130 is about 2162.4361262243. The cubic root of 4676130 is about 167.2228132528. Note that the first 3 decimals are identical.

It can be divided in two parts, 46 and 76130, that added together give a square (76176 = 2762).

The spelling of 4676130 in words is "four million, six hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 251 270 345 405 414 502 621 690 753 810 1035 1242 1255 1506 1863 2070 2259 2510 3105 3726 3765 4518 5773 6210 6777 7530 9315 11295 11546 13554 17319 18630 20331 22590 28865 33885 34638 40662 51957 57730 67770 86595 101655 103914 155871 173190 203310 259785 311742 467613 519570 779355 935226 1558710 2338065 4676130