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830532705 = 351714921859
BaseRepresentation
bin110001100000001…
…110110001100001
32010212210102200120
4301200032301201
53200104021310
6214225110453
726403261102
oct6140166141
92125712616
10830532705
113968a5572
121b2188429
131030b3492
147c4363a9
154cda8b70
hex3180ec61

830532705 has 32 divisors (see below), whose sum is σ = 1416528000. Its totient is φ = 414077952.

The previous prime is 830532683. The next prime is 830532707. The reversal of 830532705 is 507235038.

It is not a de Polignac number, because 830532705 - 29 = 830532193 is a prime.

It is a super-4 number, since 4×8305327054 (a number of 37 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (830532707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27066 + ... + 48924.

It is an arithmetic number, because the mean of its divisors is an integer number (44266500).

Almost surely, 2830532705 is an apocalyptic number.

830532705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

830532705 is a deficient number, since it is larger than the sum of its proper divisors (585995295).

830532705 is a wasteful number, since it uses less digits than its factorization.

830532705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22033.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 830532705 is about 28818.9643290664. The cubic root of 830532705 is about 939.9806488396.

It can be divided in two parts, 83053 and 2705, that added together give a palindrome (85758).

The spelling of 830532705 in words is "eight hundred thirty million, five hundred thirty-two thousand, seven hundred five".

Divisors: 1 3 5 15 17 51 85 149 255 447 745 2235 2533 7599 12665 21859 37995 65577 109295 327885 371603 1114809 1858015 3256991 5574045 9770973 16284955 48854865 55368847 166106541 276844235 830532705