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421411400 = 235247127353
BaseRepresentation
bin11001000111100…
…011101001001000
31002100221220202122
4121013203221020
51330340131100
6105452150412
713304636444
oct3107435110
91070856678
10421411400
111a696a693
12b9168408
13693ca277
143dd79824
1526ee2985
hex191e3a48

421411400 has 96 divisors (see below), whose sum is σ = 1011363840. Its totient is φ = 163215360.

The previous prime is 421411387. The next prime is 421411439. The reversal of 421411400 is 4114124.

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 23 ways as a sum of consecutive naturals, for example, 1193624 + ... + 1193976.

It is an arithmetic number, because the mean of its divisors is an integer number (10535040).

Almost surely, 2421411400 is an apocalyptic number.

421411400 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 421411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505681920).

421411400 is an abundant number, since it is smaller than the sum of its proper divisors (589952440).

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

421411400 is a wasteful number, since it uses less digits than its factorization.

421411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 421411400 is about 20528.3072853073. The cubic root of 421411400 is about 749.7251733801.

Adding to 421411400 its reverse (4114124), we get a palindrome (425525524).

The spelling of 421411400 in words is "four hundred twenty-one million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 127 188 200 235 254 353 376 470 508 635 706 940 1016 1175 1270 1412 1765 1880 2350 2540 2824 3175 3530 4700 5080 5969 6350 7060 8825 9400 11938 12700 14120 16591 17650 23876 25400 29845 33182 35300 44831 47752 59690 66364 70600 82955 89662 119380 132728 149225 165910 179324 224155 238760 298450 331820 358648 414775 448310 596900 663640 829550 896620 1120775 1193800 1659100 1793240 2107057 2241550 3318200 4214114 4483100 8428228 8966200 10535285 16856456 21070570 42141140 52676425 84282280 105352850 210705700 421411400