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421701680 = 24531971753
BaseRepresentation
bin11001001000101…
…010100000110000
31002101111122221202
4121020222200300
51330423423210
6105502310332
713310255651
oct3110524060
91071448852
10421701680
111a7048794
12b92883a8
136949c42a
1440013528
152704d9a5
hex1922a830

421701680 has 80 divisors (see below), whose sum is σ = 1023101184. Its totient is φ = 161464320.

The previous prime is 421701661. The next prime is 421701689. The reversal of 421701680 is 86107124.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (421701689) 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, 239684 + ... + 241436.

Almost surely, 2421701680 is an apocalyptic number.

421701680 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 421701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511550592).

421701680 is an abundant number, since it is smaller than the sum of its proper divisors (601399504).

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

421701680 is a wasteful number, since it uses less digits than its factorization.

421701680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 421701680 is about 20535.3763052933. The cubic root of 421701680 is about 749.8972777834.

The spelling of 421701680 in words is "four hundred twenty-one million, seven hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 620 776 970 1240 1552 1753 1940 2480 3007 3506 3880 6014 7012 7760 8765 12028 14024 15035 17530 24056 28048 30070 35060 48112 54343 60140 70120 108686 120280 140240 170041 217372 240560 271715 340082 434744 543430 680164 850205 869488 1086860 1360328 1700410 2173720 2720656 3400820 4347440 5271271 6801640 10542542 13603280 21085084 26356355 42170168 52712710 84340336 105425420 210850840 421701680