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420411712 = 2673672557
BaseRepresentation
bin11001000011101…
…111100101000000
31002022002010110011
4121003233211000
51330111133322
6105414514304
713263304060
oct3103574500
91068063404
10420411712
111a63475a6
12b8965994
136913a236
143db993a0
1526d96677
hex190ef940

420411712 has 56 divisors (see below), whose sum is σ = 956405504. Its totient is φ = 179615232.

The previous prime is 420411709. The next prime is 420411743. The reversal of 420411712 is 217114024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 163138 + ... + 165694.

Almost surely, 2420411712 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 420411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478202752).

420411712 is an abundant number, since it is smaller than the sum of its proper divisors (535993792).

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

420411712 is a wasteful number, since it uses less digits than its factorization.

420411712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 420411712 is about 20503.9438157638. The cubic root of 420411712 is about 749.1318618730.

Adding to 420411712 its reverse (217114024), we get a palindrome (637525736).

The spelling of 420411712 in words is "four hundred twenty million, four hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 734 1468 2557 2569 2936 5114 5138 5872 10228 10276 11744 17899 20456 20552 23488 35798 40912 41104 71596 81824 82208 143192 163648 164416 286384 572768 938419 1145536 1876838 3753676 6568933 7507352 13137866 15014704 26275732 30029408 52551464 60058816 105102928 210205856 420411712