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830454120 = 23345256313
BaseRepresentation
bin110001011111111…
…011100101101000
32010212122102220000
4301133323211220
53200044012440
6214223303000
726402513016
oct6137734550
92125572800
10830454120
11396851521
121b214aa60
13103086792
147c4158b6
154cd90730
hex317fb968

830454120 has 80 divisors (see below), whose sum is σ = 2791259460. Its totient is φ = 221453568.

The previous prime is 830454113. The next prime is 830454167. The reversal of 830454120 is 21454038.

It can be written as a sum of positive squares in 2 ways, for example, as 781426116 + 49028004 = 27954^2 + 7002^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124917 + ... + 131396.

Almost surely, 2830454120 is an apocalyptic number.

It is an amenable number.

830454120 is an abundant number, since it is smaller than the sum of its proper divisors (1960805340).

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

830454120 is a wasteful number, since it uses less digits than its factorization.

830454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256336 (or 256323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 830454120 is about 28817.6008716895. The cubic root of 830454120 is about 939.9510009165.

The spelling of 830454120 in words is "eight hundred thirty million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 256313 512626 768939 1025252 1281565 1537878 2050504 2306817 2563130 3075756 3844695 4613634 5126260 6151512 6920451 7689390 9227268 10252520 11534085 13840902 15378780 18454536 20761353 23068170 27681804 30757560 34602255 41522706 46136340 55363608 69204510 83045412 92272680 103806765 138409020 166090824 207613530 276818040 415227060 830454120