Search a number
-
+
412422000 = 2435368737
BaseRepresentation
bin11000100101010…
…000111101110000
31001202001012121220
4120211100331300
51321040001000
6104531345040
713135346334
oct3045207560
91052035556
10412422000
111a188a831
12b6152180
13675a06b3
143cab97c4
15263191a0
hex18950f70

412422000 has 80 divisors (see below), whose sum is σ = 1329667872. Its totient is φ = 109977600.

The previous prime is 412421983. The next prime is 412422001. The reversal of 412422000 is 224214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412422001) 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, 28369 + ... + 40368.

Almost surely, 2412422000 is an apocalyptic number.

412422000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412422000 is an abundant number, since it is smaller than the sum of its proper divisors (917245872).

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

412422000 is a wasteful number, since it uses less digits than its factorization.

412422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68763 (or 68747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412422000 is about 20308.1756935477. The cubic root of 412422000 is about 744.3558535866.

Adding to 412422000 its reverse (224214), we get a palindrome (412646214).

The spelling of 412422000 in words is "four hundred twelve million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 68737 137474 206211 274948 343685 412422 549896 687370 824844 1031055 1099792 1374740 1649688 1718425 2062110 2749480 3299376 3436850 4124220 5155275 5498960 6873700 8248440 8592125 10310550 13747400 16496880 17184250 20621100 25776375 27494800 34368500 41242200 51552750 68737000 82484400 103105500 137474000 206211000 412422000