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421454680 = 23529421863
BaseRepresentation
bin11001000111101…
…110001101011000
31002101001010010121
4121013232031120
51330343022210
6105453123024
713305206563
oct3107561530
91071033117
10421454680
111a699a159
12b9189474
1369413b8a
143dd8b4da
15270006da
hex191ee358

421454680 has 64 divisors (see below), whose sum is σ = 984441600. Its totient is φ = 162193920.

The previous prime is 421454647. The next prime is 421454681. The reversal of 421454680 is 86454124.

421454680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421454681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487929 + ... + 488791.

It is an arithmetic number, because the mean of its divisors is an integer number (15381900).

Almost surely, 2421454680 is an apocalyptic number.

421454680 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 421454680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492220800).

421454680 is an abundant number, since it is smaller than the sum of its proper divisors (562986920).

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

421454680 is a wasteful number, since it uses less digits than its factorization.

421454680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 421454680 is about 20529.3614123772. The cubic root of 421454680 is about 749.7508387155.

The spelling of 421454680 in words is "four hundred twenty-one million, four hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 421 580 842 863 1160 1684 1726 2105 3368 3452 4210 4315 6904 8420 8630 12209 16840 17260 24418 25027 34520 48836 50054 61045 97672 100108 122090 125135 200216 244180 250270 363323 488360 500540 726646 1001080 1453292 1816615 2906584 3633230 7266460 10536367 14532920 21072734 42145468 52681835 84290936 105363670 210727340 421454680