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414232140 = 22357986267
BaseRepresentation
bin11000101100001…
…010111001001100
31001212110011200010
4120230022321030
51322020412030
6105034233220
713156625610
oct3054127114
91055404603
10414232140
111a2906813
12b6885810
1367a8559a
143d02b340
15265756b0
hex18b0ae4c

414232140 has 48 divisors (see below), whose sum is σ = 1325544192. Its totient is φ = 94681536.

The previous prime is 414232111. The next prime is 414232141. The reversal of 414232140 is 41232414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (414232141) 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 15 ways as a sum of consecutive naturals, for example, 492714 + ... + 493553.

It is an arithmetic number, because the mean of its divisors is an integer number (27615504).

Almost surely, 2414232140 is an apocalyptic number.

It is an amenable number.

414232140 is an abundant number, since it is smaller than the sum of its proper divisors (911312052).

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

414232140 is a wasteful number, since it uses less digits than its factorization.

414232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986286 (or 986284 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414232140 is about 20352.6936792160. The cubic root of 414232140 is about 745.4432687801.

Adding to 414232140 its reverse (41232414), we get a palindrome (455464554).

The spelling of 414232140 in words is "four hundred fourteen million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 986267 1972534 2958801 3945068 4931335 5917602 6903869 9862670 11835204 13807738 14794005 19725340 20711607 27615476 29588010 34519345 41423214 59176020 69038690 82846428 103558035 138077380 207116070 414232140