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420120129 = 311132933769
BaseRepresentation
bin11001000010101…
…000011001000001
31002021112022110210
4121002220121001
51330022321004
6105404344333
713260651012
oct3102503101
91067468423
10420120129
111a6168520
12b88450a9
13690675c0
143db21009
1526d3a089
hex190a8641

420120129 has 32 divisors (see below), whose sum is σ = 680803200. Its totient is φ = 226920960.

The previous prime is 420120097. The next prime is 420120137. The reversal of 420120129 is 921021024.

It is not a de Polignac number, because 420120129 - 25 = 420120097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420120529) 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, 4444 + ... + 29325.

It is an arithmetic number, because the mean of its divisors is an integer number (21275100).

Almost surely, 2420120129 is an apocalyptic number.

It is an amenable number.

420120129 is a deficient number, since it is larger than the sum of its proper divisors (260683071).

420120129 is a wasteful number, since it uses less digits than its factorization.

420120129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33825.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 420120129 is about 20496.8321698744. The cubic root of 420120129 is about 748.9586311816.

The spelling of 420120129 in words is "four hundred twenty million, one hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 4147 12441 33769 101307 371459 438997 979301 1114377 1316991 2937903 4828967 10772311 12730913 14486901 32316933 38192739 140040043 420120129