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201404420 = 225729113439
BaseRepresentation
bin11000000000100…
…11000000000100
3112000222101220222
430000103000010
5403024420140
631552443512
74663623620
oct1400230004
9460871828
10201404420
11a3762138
1257549598
1332959619
141ca6a180
1512a355b5
hexc013004

201404420 has 96 divisors (see below), whose sum is σ = 505612800. Its totient is φ = 65931264.

The previous prime is 201404407. The next prime is 201404429. The reversal of 201404420 is 24404102.

It is not an unprimeable number, because it can be changed into a prime (201404429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458561 + ... + 458999.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2201404420 is an apocalyptic number.

201404420 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 201404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

201404420 is an abundant number, since it is smaller than the sum of its proper divisors (304208380).

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

201404420 is a wasteful number, since it uses less digits than its factorization.

201404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 201404420 is about 14191.7025053374. The cubic root of 201404420 is about 586.1692056815.

Adding to 201404420 its reverse (24404102), we get a palindrome (225808522).

The spelling of 201404420 in words is "two hundred one million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 113 116 140 145 203 226 290 406 439 452 565 580 791 812 878 1015 1130 1582 1756 2030 2195 2260 3073 3164 3277 3955 4060 4390 6146 6554 7910 8780 12292 12731 13108 15365 15820 16385 22939 25462 30730 32770 45878 49607 50924 61460 63655 65540 89117 91756 99214 114695 127310 178234 198428 229390 248035 254620 347249 356468 445585 458780 496070 694498 891170 992140 1388996 1438603 1736245 1782340 2877206 3472490 5754412 6944980 7193015 10070221 14386030 20140442 28772060 40280884 50351105 100702210 201404420