Search a number
-
+
841435920 = 243251389897
BaseRepresentation
bin110010001001110…
…100101100010000
32011122022101002100
4302021310230100
53210401422140
6215254520400
726565041643
oct6211645420
92148271070
10841435920
113a1a72296
121b5966100
131054301a0
147da73a5a
154dd0e530
hex32274b10

841435920 has 120 divisors (see below), whose sum is σ = 3043227096. Its totient is φ = 207120384.

The previous prime is 841435901. The next prime is 841435921. The reversal of 841435920 is 29534148.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 838449936 = 1728^2 + 28956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (841435921) 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, 35589 + ... + 54308.

Almost surely, 2841435920 is an apocalyptic number.

841435920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

841435920 is an abundant number, since it is smaller than the sum of its proper divisors (2201791176).

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

841435920 is a wasteful number, since it uses less digits than its factorization.

841435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89929 (or 89920 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 841435920 is about 29007.5148883871. The cubic root of 841435920 is about 944.0761273951.

The spelling of 841435920 in words is "eight hundred forty-one million, four hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 89897 179794 269691 359588 449485 539382 719176 809073 898970 1078764 1168661 1348455 1438352 1618146 1797940 2157528 2337322 2696910 3236292 3505983 3595880 4045365 4315056 4674644 5393820 5843305 6472584 7011966 7191760 8090730 9349288 10517949 10787640 11686610 12945168 14023932 16181460 17529915 18698576 21035898 21575280 23373220 28047864 32362920 35059830 42071796 46746440 52589745 56095728 64725840 70119660 84143592 93492880 105179490 140239320 168287184 210358980 280478640 420717960 841435920