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8421400 = 2352134179
BaseRepresentation
bin100000001000…
…000000011000
3120211211222201
4200020000120
54123441100
6500255544
7131403121
oct40100030
916754881
108421400
114832139
1229a15b4
13198b1a0
141193048
15b1536a
hex808018

8421400 has 96 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 2995200.

The previous prime is 8421251. The next prime is 8421403. The reversal of 8421400 is 41248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8421403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106561 + ... + 106639.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 28421400 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 8421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

8421400 is an abundant number, since it is smaller than the sum of its proper divisors (13452200).

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

8421400 is a wasteful number, since it uses less digits than its factorization.

8421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8421400 is about 2901.9648516135. The cubic root of 8421400 is about 203.4517510229.

Adding to 8421400 its reverse (41248), we get a palindrome (8462648).

The spelling of 8421400 in words is "eight million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 79 82 100 104 130 158 164 200 205 260 316 325 328 395 410 520 533 632 650 790 820 1025 1027 1066 1300 1580 1640 1975 2050 2054 2132 2600 2665 3160 3239 3950 4100 4108 4264 5135 5330 6478 7900 8200 8216 10270 10660 12956 13325 15800 16195 20540 21320 25675 25912 26650 32390 41080 42107 51350 53300 64780 80975 84214 102700 106600 129560 161950 168428 205400 210535 323900 336856 421070 647800 842140 1052675 1684280 2105350 4210700 8421400