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412642120 = 23511937823
BaseRepresentation
bin11000100110000…
…110101101001000
31001202110101120111
4120212012231020
51321114021440
6104540204104
713140254152
oct3046065510
91052411514
10412642120
111a1a20150
12b6239634
1367649947
143cb35ad2
152635e4ea
hex18986b48

412642120 has 32 divisors (see below), whose sum is σ = 1012849920. Its totient is φ = 150051520.

The previous prime is 412642117. The next prime is 412642121. The reversal of 412642120 is 21246214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 412642091 and 412642100.

It is not an unprimeable number, because it can be changed into a prime (412642121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468472 + ... + 469351.

It is an arithmetic number, because the mean of its divisors is an integer number (31651560).

Almost surely, 2412642120 is an apocalyptic number.

412642120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412642120 is an abundant number, since it is smaller than the sum of its proper divisors (600207800).

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

412642120 is a wasteful number, since it uses less digits than its factorization.

412642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937845 (or 937841 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 412642120 is about 20313.5944628222. The cubic root of 412642120 is about 744.4882571840.

Adding to 412642120 its reverse (21246214), we get a palindrome (433888334).

The spelling of 412642120 in words is "four hundred twelve million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 937823 1875646 3751292 4689115 7502584 9378230 10316053 18756460 20632106 37512920 41264212 51580265 82528424 103160530 206321060 412642120