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830290480 = 24559175909
BaseRepresentation
bin110001011111010…
…011101000110000
32010212100010102021
4301133103220300
53200023243410
6214220001224
726401231645
oct6137235060
92125303367
10830290480
1139674a588
121b2090214
1310302a156
147c3b1dcc
154cd5beda
hex317d3a30

830290480 has 40 divisors (see below), whose sum is σ = 1963155600. Its totient is φ = 326485248.

The previous prime is 830290477. The next prime is 830290499. The reversal of 830290480 is 84092038.

830290480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83235 + ... + 92674.

It is an arithmetic number, because the mean of its divisors is an integer number (49078890).

Almost surely, 2830290480 is an apocalyptic number.

830290480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830290480 is an abundant number, since it is smaller than the sum of its proper divisors (1132865120).

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

830290480 is a wasteful number, since it uses less digits than its factorization.

830290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175981 (or 175975 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 830290480 is about 28814.7614947617. The cubic root of 830290480 is about 939.8892581174.

The spelling of 830290480 in words is "eight hundred thirty million, two hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 175909 351818 703636 879545 1407272 1759090 2814544 3518180 7036360 10378631 14072720 20757262 41514524 51893155 83029048 103786310 166058096 207572620 415145240 830290480