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414632130 = 235113140531
BaseRepresentation
bin11000101101101…
…100100011000010
31001220012111100120
4120231230203002
51322121212010
6105051001110
713163213013
oct3055544302
91056174316
10414632130
111a305a290
12b6a39196
1367b95673
143d0d300a
1526603e70
hex18b6c8c2

414632130 has 64 divisors (see below), whose sum is σ = 1120628736. Its totient is φ = 97272000.

The previous prime is 414632107. The next prime is 414632137. The reversal of 414632130 is 31236414.

It is a self number, because there is not a number n which added to its sum of digits gives 414632130.

It is not an unprimeable number, because it can be changed into a prime (414632137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10036 + ... + 30495.

It is an arithmetic number, because the mean of its divisors is an integer number (17509824).

Almost surely, 2414632130 is an apocalyptic number.

414632130 is an abundant number, since it is smaller than the sum of its proper divisors (705996606).

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

414632130 is a wasteful number, since it uses less digits than its factorization.

414632130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40583.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 414632130 is about 20362.5177716313. The cubic root of 414632130 is about 745.6831293985.

Adding to 414632130 its reverse (31236414), we get a palindrome (445868544).

The spelling of 414632130 in words is "four hundred fourteen million, six hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 40531 81062 121593 202655 243186 405310 445841 607965 891682 1215930 1256461 1337523 2229205 2512922 2675046 3769383 4458410 6282305 6687615 7538766 12564610 13375230 13821071 18846915 27642142 37693830 41463213 69105355 82926426 138210710 207316065 414632130