Search a number
-
+
6234960 = 243583313
BaseRepresentation
bin10111110010001101010000
3102201202202110
4113302031100
53044004320
6341345320
7103665504
oct27621520
912652673
106234960
113579466
122108240
1313a3c34
14b84304
158325e0
hex5f2350

6234960 has 80 divisors (see below), whose sum is σ = 19623744. Its totient is φ = 1637376.

The previous prime is 6234959. The next prime is 6234979. The reversal of 6234960 is 694326.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19764 + ... + 20076.

Almost surely, 26234960 is an apocalyptic number.

6234960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811872).

6234960 is an abundant number, since it is smaller than the sum of its proper divisors (13388784).

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

6234960 is a wasteful number, since it uses less digits than its factorization.

6234960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6234960 is about 2496.9901882066. The cubic root of 6234960 is about 184.0537020314.

The spelling of 6234960 in words is "six million, two hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 313 332 415 498 626 664 830 939 996 1245 1252 1328 1565 1660 1878 1992 2490 2504 3130 3320 3756 3984 4695 4980 5008 6260 6640 7512 9390 9960 12520 15024 18780 19920 25040 25979 37560 51958 75120 77937 103916 129895 155874 207832 259790 311748 389685 415664 519580 623496 779370 1039160 1246992 1558740 2078320 3117480 6234960