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835428240 = 243251160317
BaseRepresentation
bin110001110010111…
…001111110010000
32011020000011002200
4301302321332100
53202332200430
6214522043200
726463010563
oct6162717620
92136004080
10835428240
11399639669
121b3949500
1310410884a
147cd4c4da
154d524460
hex31cb9f90

835428240 has 60 divisors (see below), whose sum is σ = 2805648924. Its totient is φ = 222780672.

The previous prime is 835428221. The next prime is 835428247. The reversal of 835428240 is 42824538.

It can be written as a sum of positive squares in 2 ways, for example, as 539725824 + 295702416 = 23232^2 + 17196^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 835428195 and 835428204.

It is not an unprimeable number, because it can be changed into a prime (835428247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579439 + ... + 580878.

Almost surely, 2835428240 is an apocalyptic number.

835428240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

835428240 is an abundant number, since it is smaller than the sum of its proper divisors (1970220684).

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

835428240 is a wasteful number, since it uses less digits than its factorization.

835428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160336 (or 1160327 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 835428240 is about 28903.7755319266. The cubic root of 835428240 is about 941.8239220845.

The spelling of 835428240 in words is "eight hundred thirty-five million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1160317 2320634 3480951 4641268 5801585 6961902 9282536 10442853 11603170 13923804 17404755 18565072 20885706 23206340 27847608 34809510 41771412 46412680 52214265 55695216 69619020 83542824 92825360 104428530 139238040 167085648 208857060 278476080 417714120 835428240