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835422720 = 29351122931
BaseRepresentation
bin110001110010111…
…000101000000000
32011012222212112020
4301302320220000
53202332011340
6214522001440
726462655516
oct6162705000
92135885466
10835422720
11399635500
121b3946280
13104106192
147cd4a4b6
154d5229d0
hex31cb8a00

835422720 has 480 divisors, whose sum is σ = 3134799360. Its totient is φ = 189235200.

The previous prime is 835422719. The next prime is 835422727. The reversal of 835422720 is 27224538.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8354227202 = 1395862242184396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835422727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26949105 + ... + 26949135.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2835422720 is an apocalyptic number.

835422720 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 835422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

835422720 is an abundant number, since it is smaller than the sum of its proper divisors (2299376640).

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

835422720 is a wasteful number, since it uses less digits than its factorization.

835422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 835422720 is about 28903.6800425136. The cubic root of 835422720 is about 941.8218477473.

The spelling of 835422720 in words is "eight hundred thirty-five million, four hundred twenty-two thousand, seven hundred twenty".