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420417123 = 37171961981
BaseRepresentation
bin11001000011110…
…000111001100011
31002022002101212120
4121003300321203
51330111321443
6105414555323
713263325620
oct3103607143
91068071776
10420417123
111a6350675
12b8968b43
136913c839
143db9b347
1526d98083
hex190f0e63

420417123 has 32 divisors (see below), whose sum is σ = 714032640. Its totient is φ = 214202880.

The previous prime is 420417119. The next prime is 420417131. The reversal of 420417123 is 321714024.

It is a happy number.

It is not a de Polignac number, because 420417123 - 22 = 420417119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420417093 and 420417102.

It is not an unprimeable number, because it can be changed into a prime (420417103) 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, 24208 + ... + 37773.

It is an arithmetic number, because the mean of its divisors is an integer number (22313520).

Almost surely, 2420417123 is an apocalyptic number.

420417123 is a deficient number, since it is larger than the sum of its proper divisors (293615517).

420417123 is a wasteful number, since it uses less digits than its factorization.

420417123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62027.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 420417123 is about 20504.0757655643. The cubic root of 420417123 is about 749.1350758139.

The spelling of 420417123 in words is "four hundred twenty million, four hundred seventeen thousand, one hundred twenty-three".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 969 2261 6783 61981 185943 433867 1053677 1177639 1301601 3161031 3532917 7375739 8243473 20019863 22127217 24730419 60059589 140139041 420417123