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414716780 = 225113183503
BaseRepresentation
bin11000101110000…
…001001101101100
31001220100210110202
4120232001031230
51322131414110
6105052453032
713164014552
oct3056011554
91056323422
10414716780
111a3107945
12b6a7a178
1367bc505a
143d115bd2
152661e0a5
hex18b8136c

414716780 has 24 divisors (see below), whose sum is σ = 878617152. Its totient is φ = 164417792.

The previous prime is 414716773. The next prime is 414716803. The reversal of 414716780 is 87617414.

It is a super-2 number, since 2×4147167802 = 343980015227136800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 89492 + ... + 94011.

It is an arithmetic number, because the mean of its divisors is an integer number (36609048).

Almost surely, 2414716780 is an apocalyptic number.

It is an amenable number.

414716780 is an abundant number, since it is smaller than the sum of its proper divisors (463900372).

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

414716780 is a wasteful number, since it uses less digits than its factorization.

414716780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183625 (or 183623 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 414716780 is about 20364.5962395526. The cubic root of 414716780 is about 745.7338713914.

The spelling of 414716780 in words is "four hundred fourteen million, seven hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 183503 367006 734012 917515 1835030 3670060 20735839 41471678 82943356 103679195 207358390 414716780