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830776740 = 223517247911
BaseRepresentation
bin110001100001001…
…010010110100100
32010220020211102220
4301201022112210
53200134323430
6214234232340
726405325423
oct6141122644
92126224386
10830776740
11396a51952
121b22856b0
1310316a591
147c49b2ba
154ce06110
hex3184a5a4

830776740 has 72 divisors (see below), whose sum is σ = 2471109312. Its totient is φ = 208504320.

The previous prime is 830776733. The next prime is 830776741. The reversal of 830776740 is 47677038.

It is a junction number, because it is equal to n+sod(n) for n = 830776692 and 830776701.

It is not an unprimeable number, because it can be changed into a prime (830776741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6616 + ... + 41295.

Almost surely, 2830776740 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 830776740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235554656).

830776740 is an abundant number, since it is smaller than the sum of its proper divisors (1640332572).

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

830776740 is a wasteful number, since it uses less digits than its factorization.

830776740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47957 (or 47938 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 830776740 is about 28823.1979488744. The cubic root of 830776740 is about 940.0727045018.

The spelling of 830776740 in words is "eight hundred thirty million, seven hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 47911 95822 143733 191644 239555 287466 479110 574932 718665 814487 958220 1437330 1628974 2443461 2874660 3257948 4072435 4886922 8144870 9773844 12217305 13846279 16289740 24434610 27692558 41538837 48869220 55385116 69231395 83077674 138462790 166155348 207694185 276925580 415388370 830776740