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830137320 = 233252519187
BaseRepresentation
bin110001011110101…
…110001111101000
32010212001100022200
4301132232033220
53200003343240
6214212420200
726400023265
oct6136561750
92125040280
10830137320
11396655501
121b2017660
13102ca551c
147c37226c
154cd2b930
hex317ae3e8

830137320 has 96 divisors (see below), whose sum is σ = 2708989920. Its totient is φ = 220464000.

The previous prime is 830137271. The next prime is 830137327. The reversal of 830137320 is 23731038.

830137320 is a `hidden beast` number, since 8 + 301 + 37 + 320 = 666.

It is not an unprimeable number, because it can be changed into a prime (830137327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85767 + ... + 94953.

It is an arithmetic number, because the mean of its divisors is an integer number (28218645).

Almost surely, 2830137320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830137320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354494960).

830137320 is an abundant number, since it is smaller than the sum of its proper divisors (1878852600).

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

830137320 is a wasteful number, since it uses less digits than its factorization.

830137320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 830137320 is about 28812.1037066022. The cubic root of 830137320 is about 939.8314621634.

Adding to 830137320 its reverse (23731038), we get a palindrome (853868358).

The spelling of 830137320 in words is "eight hundred thirty million, one hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 251 360 502 753 1004 1255 1506 2008 2259 2510 3012 3765 4518 5020 6024 7530 9036 9187 10040 11295 15060 18072 18374 22590 27561 30120 36748 45180 45935 55122 73496 82683 90360 91870 110244 137805 165366 183740 220488 275610 330732 367480 413415 551220 661464 826830 1102440 1653660 2305937 3307320 4611874 6917811 9223748 11529685 13835622 18447496 20753433 23059370 27671244 34589055 41506866 46118740 55342488 69178110 83013732 92237480 103767165 138356220 166027464 207534330 276712440 415068660 830137320