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210311420 = 2251117531061
BaseRepresentation
bin11001000100100…
…01100011111100
3112122201221000212
430202101203330
5412314431140
632511411552
75132421554
oct1442214374
9478657025
10210311420
11a87960a0
125a523bb8
1334757837
141dd08164
15136e4765
hexc8918fc

210311420 has 96 divisors (see below), whose sum is σ = 520261056. Its totient is φ = 70553600.

The previous prime is 210311407. The next prime is 210311489. The reversal of 210311420 is 24113012.

It is a junction number, because it is equal to n+sod(n) for n = 210311395 and 210311404.

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 31 ways as a sum of consecutive naturals, for example, 197690 + ... + 198750.

It is an arithmetic number, because the mean of its divisors is an integer number (5419386).

Almost surely, 2210311420 is an apocalyptic number.

210311420 is a gapful number since it is divisible by the number (20) 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 210311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260130528).

210311420 is an abundant number, since it is smaller than the sum of its proper divisors (309949636).

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

210311420 is a wasteful number, since it uses less digits than its factorization.

210311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 210311420 is about 14502.1177763801. The cubic root of 210311420 is about 594.6858685967.

Adding to 210311420 its reverse (24113012), we get a palindrome (234424432).

The spelling of 210311420 in words is "two hundred ten million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1061 1166 1802 1870 2122 2332 2915 3604 3740 4244 4505 5305 5830 9010 9911 10610 11660 11671 18020 18037 19822 21220 23342 36074 39644 46684 49555 56233 58355 72148 90185 99110 112466 116710 180370 198220 198407 224932 233420 281165 360740 396814 562330 618563 793628 955961 992035 1124660 1237126 1911922 1984070 2474252 3092815 3823844 3968140 4779805 6185630 9559610 10515571 12371260 19119220 21031142 42062284 52577855 105155710 210311420