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420189528 = 233116772351
BaseRepresentation
bin11001000010111…
…001010101011000
31002021122211200010
4121002321111120
51330032031103
6105410041520
713261360233
oct3102712530
91067584603
10420189528
111a6205680
12b88792a0
1369090075
143db3c41a
1526d50903
hex190b9558

420189528 has 64 divisors (see below), whose sum is σ = 1148152320. Its totient is φ = 127088000.

The previous prime is 420189521. The next prime is 420189529. The reversal of 420189528 is 825981024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420189521) 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, 177553 + ... + 179903.

It is an arithmetic number, because the mean of its divisors is an integer number (17939880).

Almost surely, 2420189528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420189528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574076160).

420189528 is an abundant number, since it is smaller than the sum of its proper divisors (727962792).

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

420189528 is a wasteful number, since it uses less digits than its factorization.

420189528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 420189528 is about 20498.5250201082. The cubic root of 420189528 is about 748.9998686871. Note that the first 3 decimals are identical.

The spelling of 420189528 in words is "four hundred twenty million, one hundred eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 677 1354 2031 2351 2708 4062 4702 5416 7053 7447 8124 9404 14106 14894 16248 18808 22341 25861 28212 29788 44682 51722 56424 59576 77583 89364 103444 155166 178728 206888 310332 620664 1591627 3183254 4774881 6366508 9549762 12733016 17507897 19099524 35015794 38199048 52523691 70031588 105047382 140063176 210094764 420189528