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4214060880 = 243540143787
BaseRepresentation
bin1111101100101101…
…0111011101010000
3101212200111110202220
43323023113131100
532112244422010
61534053541040
7206266632531
oct37313273520
911780443686
104214060880
111872800347
12997344780
1352208ca63
142bd956688
15199e5a970
hexfb2d7750

4214060880 has 80 divisors (see below), whose sum is σ = 13096465344. Its totient is φ = 1120921600.

The previous prime is 4214060867. The next prime is 4214060887. The reversal of 4214060880 is 880604124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214060887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74347 + ... + 118133.

Almost surely, 24214060880 is an apocalyptic number.

4214060880 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 4214060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548232672).

4214060880 is an abundant number, since it is smaller than the sum of its proper divisors (8882404464).

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

4214060880 is a wasteful number, since it uses less digits than its factorization.

4214060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44204 (or 44198 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4214060880 is about 64915.7983852929. The cubic root of 4214060880 is about 1615.2271346777.

The spelling of 4214060880 in words is "four billion, two hundred fourteen million, sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 43787 48120 87574 96240 131361 175148 218935 262722 350296 437870 525444 656805 700592 875740 1050888 1313610 1751480 2101776 2627220 3502960 5254440 10508880 17558587 35117174 52675761 70234348 87792935 105351522 140468696 175585870 210703044 263378805 280937392 351171740 421406088 526757610 702343480 842812176 1053515220 1404686960 2107030440 4214060880