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830690928 = 24329759471
BaseRepresentation
bin110001100000110…
…101011001110000
32010220002110201200
4301200311121300
53200124102203
6214232331200
726404520304
oct6140653160
92126073650
10830690928
113969a3431
121b2243b00
1310313a4c2
147c477d04
154cdda9a3
hex31835670

830690928 has 60 divisors (see below), whose sum is σ = 2348787168. Its totient is φ = 274037760.

The previous prime is 830690923. The next prime is 830690933. The reversal of 830690928 is 829096038.

It is an interprime number because it is at equal distance from previous prime (830690923) and next prime (830690933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830690923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15768 + ... + 43703.

Almost surely, 2830690928 is an apocalyptic number.

It is an amenable number.

830690928 is an abundant number, since it is smaller than the sum of its proper divisors (1518096240).

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

830690928 is a wasteful number, since it uses less digits than its factorization.

830690928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59582 (or 59573 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 830690928 is about 28821.7093178042. The cubic root of 830690928 is about 940.0403362803.

The spelling of 830690928 in words is "eight hundred thirty million, six hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 59471 118942 178413 237884 356826 475768 535239 713652 951536 1070478 1427304 2140956 2854608 4281912 5768687 8563824 11537374 17306061 23074748 34612122 46149496 51918183 69224244 92298992 103836366 138448488 207672732 276896976 415345464 830690928