Search a number
-
+
830992560 = 24353462469
BaseRepresentation
bin110001100001111…
…111000010110000
32010220122210111020
4301201333002300
53200213230220
6214243015440
726410214556
oct6141770260
92126583436
10830992560
1139708a012
121b236a580
13103214898
147c515bd6
154ce4a040
hex3187f0b0

830992560 has 40 divisors (see below), whose sum is σ = 2576077680. Its totient is φ = 221597952.

The previous prime is 830992537. The next prime is 830992577. The reversal of 830992560 is 65299038.

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

It is a super-3 number, since 3×8309925603 (a number of 28 digits) contains 333 as substring.

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, 1730995 + ... + 1731474.

It is an arithmetic number, because the mean of its divisors is an integer number (64401942).

Almost surely, 2830992560 is an apocalyptic number.

830992560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830992560 is an abundant number, since it is smaller than the sum of its proper divisors (1745085120).

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

830992560 is a wasteful number, since it uses less digits than its factorization.

830992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462485 (or 3462479 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 830992560 is about 28826.9415651401. The cubic root of 830992560 is about 940.1541017915.

The spelling of 830992560 in words is "eight hundred thirty million, nine hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3462469 6924938 10387407 13849876 17312345 20774814 27699752 34624690 41549628 51937035 55399504 69249380 83099256 103874070 138498760 166198512 207748140 276997520 415496280 830992560