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835415040 = 21035137397
BaseRepresentation
bin110001110010110…
…110110000000000
32011012222110222210
4301302312300000
53202331240130
6214521502120
726462624235
oct6162666000
92135873883
10835415040
1139962a759
121b3941940
13104102835
147cd4778c
154d5205b0
hex31cb6c00

835415040 has 176 divisors, whose sum is σ = 2698306272. Its totient is φ = 220594176.

The previous prime is 835415011. The next prime is 835415041. The reversal of 835415040 is 40514538.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 835414989 and 835415007.

It is not an unprimeable number, because it can be changed into a prime (835415041) 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, 2104122 + ... + 2104518.

Almost surely, 2835415040 is an apocalyptic number.

835415040 is a gapful number since it is divisible by the number (80) 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 835415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349153136).

835415040 is an abundant number, since it is smaller than the sum of its proper divisors (1862891232).

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

835415040 is a wasteful number, since it uses less digits than its factorization.

835415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 835415040 is about 28903.5471871533. The cubic root of 835415040 is about 941.8189616979.

Adding to 835415040 its reverse (40514538), we get a palindrome (875929578).

The spelling of 835415040 in words is "eight hundred thirty-five million, four hundred fifteen thousand, forty".