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406074130 = 257111972677
BaseRepresentation
bin11000001101000…
…011001100010010
31001022002200222121
4120031003030102
51312423333010
6104143324454
713030400410
oct3015031422
91038080877
10406074130
11199244560
12b3bb072a
136618a267
143bd062b0
15259b33da
hex18343312

406074130 has 64 divisors (see below), whose sum is σ = 916261632. Its totient is φ = 125879040.

The previous prime is 406074103. The next prime is 406074139. The reversal of 406074130 is 31470604.

It is a junction number, because it is equal to n+sod(n) for n = 406074095 and 406074104.

It is not an unprimeable number, because it can be changed into a prime (406074139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150352 + ... + 153028.

It is an arithmetic number, because the mean of its divisors is an integer number (14316588).

Almost surely, 2406074130 is an apocalyptic number.

406074130 is an abundant number, since it is smaller than the sum of its proper divisors (510187502).

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

406074130 is a wasteful number, since it uses less digits than its factorization.

406074130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 406074130 is about 20151.2811007142. The cubic root of 406074130 is about 740.5171269714.

The spelling of 406074130 in words is "four hundred six million, seventy-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 197 385 394 770 985 1379 1970 2167 2677 2758 4334 5354 6895 10835 13385 13790 15169 18739 21670 26770 29447 30338 37478 58894 75845 93695 147235 151690 187390 206129 294470 412258 527369 1030645 1054738 2061290 2636845 3691583 5273690 5801059 7383166 11602118 18457915 29005295 36915830 40607413 58010590 81214826 203037065 406074130