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421040000 = 275419277
BaseRepresentation
bin11001000110001…
…000111110000000
31002100021001022002
4121012020332000
51330241240000
6105440203132
713301531603
oct3106107600
91070231262
10421040000
111a6736647
12b90094a8
13692ca1c4
143dcc033a
1526e6c8d5
hex19188f80

421040000 has 160 divisors (see below), whose sum is σ = 1107301800. Its totient is φ = 158976000.

The previous prime is 421039991. The next prime is 421040017. The reversal of 421040000 is 40124.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519862 + ... + 1520138.

Almost surely, 2421040000 is an apocalyptic number.

421040000 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 421040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553650900).

421040000 is an abundant number, since it is smaller than the sum of its proper divisors (686261800).

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

421040000 is an equidigital number, since it uses as much as digits as its factorization.

421040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 421040000 is about 20519.2592458890. The cubic root of 421040000 is about 749.5048583701.

Adding to 421040000 its reverse (40124), we get a palindrome (421080124).

The spelling of 421040000 in words is "four hundred twenty-one million, forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 277 304 320 380 400 475 500 554 608 625 640 760 800 950 1000 1108 1216 1250 1385 1520 1600 1900 2000 2216 2375 2432 2500 2770 3040 3200 3800 4000 4432 4750 5000 5263 5540 6080 6925 7600 8000 8864 9500 10000 10526 11080 11875 12160 13850 15200 16000 17728 19000 20000 21052 22160 23750 26315 27700 30400 34625 35456 38000 40000 42104 44320 47500 52630 55400 60800 69250 76000 80000 84208 88640 95000 105260 110800 131575 138500 152000 168416 173125 177280 190000 210520 221600 263150 277000 304000 336832 346250 380000 421040 443200 526300 554000 657875 673664 692500 760000 842080 886400 1052600 1108000 1315750 1385000 1520000 1684160 2105200 2216000 2631500 2770000 3289375 3368320 4210400 4432000 5263000 5540000 6578750 8420800 10526000 11080000 13157500 16841600 21052000 22160000 26315000 42104000 52630000 84208000 105260000 210520000 421040000