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830538960 = 24353460579
BaseRepresentation
bin110001100000010…
…000010011010000
32010212210202021020
4301200100103100
53200104221320
6214225155440
726403315246
oct6140202320
92125722236
10830538960
113968aa239
121b218bb80
131030b6294
147c438796
154cdaa940
hex318104d0

830538960 has 40 divisors (see below), whose sum is σ = 2574671520. Its totient is φ = 221476992.

The previous prime is 830538959. The next prime is 830538967. The reversal of 830538960 is 69835038.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830538967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1730050 + ... + 1730529.

It is an arithmetic number, because the mean of its divisors is an integer number (64366788).

Almost surely, 2830538960 is an apocalyptic number.

830538960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830538960 is an abundant number, since it is smaller than the sum of its proper divisors (1744132560).

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

830538960 is a wasteful number, since it uses less digits than its factorization.

830538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460595 (or 3460589 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 830538960 is about 28819.0728511519. The cubic root of 830538960 is about 939.9830085958.

The spelling of 830538960 in words is "eight hundred thirty million, five hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3460579 6921158 10381737 13842316 17302895 20763474 27684632 34605790 41526948 51908685 55369264 69211580 83053896 103817370 138423160 166107792 207634740 276846320 415269480 830538960