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414012130 = 257311011889
BaseRepresentation
bin11000101011010…
…101001011100010
31001212000222212121
4120223111023202
51321441342010
6105025414454
713155021310
oct3053251342
91055028777
10414012130
111a2776494
12b679a42a
1367a093bc
143cdb10b0
15265303da
hex18ad52e2

414012130 has 64 divisors (see below), whose sum is σ = 888330240. Its totient is φ = 135936000.

The previous prime is 414012119. The next prime is 414012133. The reversal of 414012130 is 31210414.

It is not an unprimeable number, because it can be changed into a prime (414012133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218226 + ... + 220114.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160).

Almost surely, 2414012130 is an apocalyptic number.

414012130 is an abundant number, since it is smaller than the sum of its proper divisors (474318110).

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

414012130 is a wasteful number, since it uses less digits than its factorization.

414012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 414012130 is about 20347.2880256805. The cubic root of 414012130 is about 745.3112703166.

Adding to 414012130 its reverse (31210414), we get a palindrome (445222544).

The spelling of 414012130 in words is "four hundred fourteen million, twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 62 70 101 155 202 217 310 434 505 707 1010 1085 1414 1889 2170 3131 3535 3778 6262 7070 9445 13223 15655 18890 21917 26446 31310 43834 58559 66115 109585 117118 132230 190789 219170 292795 381578 409913 585590 819826 953945 1335523 1907890 2049565 2671046 4099130 5914459 6677615 11828918 13355230 29572295 41401213 59144590 82802426 207006065 414012130