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421310520 = 233253133739
BaseRepresentation
bin11001000111001…
…011000000111000
31002100202210101100
4121013023000320
51330323414040
6105450051400
713304036361
oct3107130070
91070683340
10421310520
111a6900914
12b9119b60
1369393387
143dd50b68
1526ec2b30
hex191cb038

421310520 has 96 divisors (see below), whose sum is σ = 1374001200. Its totient is φ = 111960576.

The previous prime is 421310471. The next prime is 421310537. The reversal of 421310520 is 25013124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 421310493 and 421310502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110811 + ... + 114549.

Almost surely, 2421310520 is an apocalyptic number.

421310520 is a gapful number since it is divisible by the number (40) 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 421310520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687000600).

421310520 is an abundant number, since it is smaller than the sum of its proper divisors (952690680).

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

421310520 is a wasteful number, since it uses less digits than its factorization.

421310520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 421310520 is about 20525.8500432991. The cubic root of 421310520 is about 749.6653440294.

Adding to 421310520 its reverse (25013124), we get a palindrome (446323644).

The spelling of 421310520 in words is "four hundred twenty-one million, three hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 939 1252 1565 1878 2504 2817 3130 3739 3756 4695 5634 6260 7478 7512 9390 11217 11268 12520 14085 14956 18695 18780 22434 22536 28170 29912 33651 37390 37560 44868 56085 56340 67302 74780 89736 112170 112680 134604 149560 168255 224340 269208 336510 448680 673020 1170307 1346040 2340614 3510921 4681228 5851535 7021842 9362456 10532763 11703070 14043684 17554605 21065526 23406140 28087368 35109210 42131052 46812280 52663815 70218420 84262104 105327630 140436840 210655260 421310520