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420130452 = 2237172391231
BaseRepresentation
bin11001000010101…
…010111010010100
31002021112211122010
4121002222322110
51330023133302
6105404504220
713261023060
oct3102527224
91067484563
10420130452
111a6175255
12b884b070
136906c201
143db24aa0
1526d3d16c
hex190aae94

420130452 has 96 divisors (see below), whose sum is σ = 1192181760. Its totient is φ = 112412160.

The previous prime is 420130441. The next prime is 420130457. The reversal of 420130452 is 254031024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420130457) 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 31 ways as a sum of consecutive naturals, for example, 340677 + ... + 341907.

It is an arithmetic number, because the mean of its divisors is an integer number (12418560).

Almost surely, 2420130452 is an apocalyptic number.

420130452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420130452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

420130452 is an abundant number, since it is smaller than the sum of its proper divisors (772051308).

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

420130452 is a wasteful number, since it uses less digits than its factorization.

420130452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420130452 is about 20497.0839877286. The cubic root of 420130452 is about 748.9647654879.

Adding to 420130452 its reverse (254031024), we get a palindrome (674161476).

The spelling of 420130452 in words is "four hundred twenty million, one hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 239 357 476 478 714 717 956 1231 1428 1434 1673 2462 2868 3346 3693 4063 4924 5019 6692 7386 8126 8617 10038 12189 14772 16252 17234 20076 20927 24378 25851 28441 34468 41854 48756 51702 56882 62781 83708 85323 103404 113764 125562 146489 170646 251124 292978 294209 341292 439467 585956 588418 878934 882627 1176836 1757868 1765254 2059463 3530508 4118926 5001553 6178389 8237852 10003106 12356778 15004659 20006212 24713556 30009318 35010871 60018636 70021742 105032613 140043484 210065226 420130452