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830053530 = 2325109191443
BaseRepresentation
bin110001011110011…
…001110010011010
32010211220002101100
4301132121302122
53144443203110
6214210532230
726366224065
oct6136316232
92124802340
10830053530
113965a8559
121b1b97076
13102c76347
147c34d8dc
154cd11bc0
hex31799c9a

830053530 has 96 divisors (see below), whose sum is σ = 2194283520. Its totient is φ = 217676160.

The previous prime is 830053519. The next prime is 830053531. The reversal of 830053530 is 35350038.

830053530 is a `hidden beast` number, since 8 + 300 + 5 + 353 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 830053494 and 830053503.

It is not an unprimeable number, because it can be changed into a prime (830053531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1873489 + ... + 1873931.

It is an arithmetic number, because the mean of its divisors is an integer number (22857120).

Almost surely, 2830053530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830053530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097141760).

830053530 is an abundant number, since it is smaller than the sum of its proper divisors (1364229990).

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

830053530 is a wasteful number, since it uses less digits than its factorization.

830053530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 830053530 is about 28810.6495935097. The cubic root of 830053530 is about 939.7998404361.

The spelling of 830053530 in words is "eight hundred thirty million, fifty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 191 218 327 382 443 545 573 654 886 955 981 1090 1146 1329 1635 1719 1910 1962 2215 2658 2865 3270 3438 3987 4430 4905 5730 6645 7974 8595 9810 13290 17190 19935 20819 39870 41638 48287 62457 84613 96574 104095 124914 144861 169226 187371 208190 241435 253839 289722 312285 374742 423065 434583 482870 507678 624570 724305 761517 846130 869166 936855 1269195 1448610 1523034 1873710 2172915 2538390 3807585 4345830 7615170 9222817 18445634 27668451 46114085 55336902 83005353 92228170 138342255 166010706 276684510 415026765 830053530