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420203504 = 24729532441
BaseRepresentation
bin11001000010111…
…100101111110000
31002021200112211202
4121002330233300
51330033003004
6105410230332
713261446050
oct3102745760
91067615752
10420203504
111a6215126
12b88853a8
1369096536
143db43560
1526d54b1e
hex190bcbf0

420203504 has 80 divisors (see below), whose sum is σ = 981097920. Its totient is φ = 170526720.

The previous prime is 420203479. The next prime is 420203579. The reversal of 420203504 is 405302024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170924 + ... + 173364.

It is an arithmetic number, because the mean of its divisors is an integer number (12263724).

Almost surely, 2420203504 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 420203504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490548960).

420203504 is an abundant number, since it is smaller than the sum of its proper divisors (560894416).

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

420203504 is a wasteful number, since it uses less digits than its factorization.

420203504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 420203504 is about 20498.8659198503. The cubic root of 420203504 is about 749.0081728018.

Adding to 420203504 its reverse (405302024), we get a palindrome (825505528).

The spelling of 420203504 in words is "four hundred twenty million, two hundred three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 371 406 424 464 742 812 848 1484 1537 1624 2441 2968 3074 3248 4882 5936 6148 9764 10759 12296 17087 19528 21518 24592 34174 39056 43036 68348 70789 86072 129373 136696 141578 172144 258746 273392 283156 495523 517492 566312 905611 991046 1034984 1132624 1811222 1982092 2069968 3622444 3751817 3964184 7244888 7503634 7928368 14489776 15007268 26262719 30014536 52525438 60029072 105050876 210101752 420203504