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420035070 = 235713532903
BaseRepresentation
bin11001000010010…
…011100111111110
31002021100222210110
4121002103213332
51330012110240
6105402450450
713260145020
oct3102234776
91067328713
10420035070
111a610a624
12b8803a26
1369037980
143dadc010
1526d1ec80
hex190939fe

420035070 has 128 divisors (see below), whose sum is σ = 1264564224. Its totient is φ = 86920704.

The previous prime is 420035047. The next prime is 420035087. The reversal of 420035070 is 70530024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143239 + ... + 146141.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 2420035070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420035070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632282112).

420035070 is an abundant number, since it is smaller than the sum of its proper divisors (844529154).

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

420035070 is a wasteful number, since it uses less digits than its factorization.

420035070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 420035070 is about 20494.7571344478. The cubic root of 420035070 is about 748.9080821699.

Adding to 420035070 its reverse (70530024), we get a palindrome (490565094).

The spelling of 420035070 in words is "four hundred twenty million, thirty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 53 65 70 78 91 105 106 130 159 182 195 210 265 273 318 371 390 455 530 546 689 742 795 910 1113 1365 1378 1590 1855 2067 2226 2730 2903 3445 3710 4134 4823 5565 5806 6890 8709 9646 10335 11130 14469 14515 17418 20321 20670 24115 28938 29030 37739 40642 43545 48230 60963 72345 75478 87090 101605 113217 121926 144690 153859 188695 203210 226434 264173 304815 307718 377390 461577 528346 566085 609630 769295 792519 923154 1077013 1132170 1320865 1538590 1585038 2000167 2154026 2307885 2641730 3231039 3962595 4000334 4615770 5385065 6000501 6462078 7925190 10000835 10770130 12001002 14001169 16155195 20001670 28002338 30002505 32310390 42003507 60005010 70005845 84007014 140011690 210017535 420035070