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420360921 = 34171916067
BaseRepresentation
bin11001000011100…
…011001011011001
31002021222112210000
4121003203023121
51330103022141
6105413443213
713263003021
oct3103431331
91067875700
10420360921
111a6312422
12b8940509
1369120096
143db84a81
1526d865b6
hex190e32d9

420360921 has 40 divisors (see below), whose sum is σ = 699922080. Its totient is φ = 249858432.

The previous prime is 420360917. The next prime is 420360931. The reversal of 420360921 is 129063024.

It is not a de Polignac number, because 420360921 - 22 = 420360917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420360931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18130 + ... + 34196.

It is an arithmetic number, because the mean of its divisors is an integer number (17498052).

Almost surely, 2420360921 is an apocalyptic number.

It is an amenable number.

420360921 is a deficient number, since it is larger than the sum of its proper divisors (279561159).

420360921 is a wasteful number, since it uses less digits than its factorization.

420360921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 420360921 is about 20502.7052117519. The cubic root of 420360921 is about 749.1016924877.

The spelling of 420360921 in words is "four hundred twenty million, three hundred sixty thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 16067 26163 48201 144603 273139 305273 433809 819417 915819 1301427 2458251 2747457 5189641 7374753 8242371 15568923 22124259 24727113 46706769 140120307 420360921