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414003132 = 223211500087
BaseRepresentation
bin11000101011010…
…010111110111100
31001212000112112100
4120223102332330
51321441100012
6105025305100
713154653134
oct3053227674
91055015470
10414003132
111a276a754
12b6795190
1367a0528a
143cdabac4
152652c8dc
hex18ad2fbc

414003132 has 18 divisors (see below), whose sum is σ = 1046508008. Its totient is φ = 138001032.

The previous prime is 414003131. The next prime is 414003137. The reversal of 414003132 is 231300414.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5750008 + ... + 5750079.

Almost surely, 2414003132 is an apocalyptic number.

It is an amenable number.

414003132 is an abundant number, since it is smaller than the sum of its proper divisors (632504876).

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

414003132 is a wasteful number, since it uses less digits than its factorization.

414003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500097 (or 11500092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 414003132 is about 20347.0669139314. The cubic root of 414003132 is about 745.3058708296.

Adding to 414003132 its reverse (231300414), we get a palindrome (645303546).

The spelling of 414003132 in words is "four hundred fourteen million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11500087 23000174 34500261 46000348 69000522 103500783 138001044 207001566 414003132