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6480978 = 2371729313
BaseRepresentation
bin11000101110010001010010
3110012021020020
4120232101102
53124342403
6350524310
7106041660
oct30562122
913167206
106480978
113727289
122206696
13145bbca
14c09c30
15880453
hex62e452

6480978 has 64 divisors (see below), whose sum is σ = 16277760. Its totient is φ = 1677312.

The previous prime is 6480967. The next prime is 6480979. The reversal of 6480978 is 8790846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6480979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20550 + ... + 20862.

It is an arithmetic number, because the mean of its divisors is an integer number (254340).

Almost surely, 26480978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138880).

6480978 is an abundant number, since it is smaller than the sum of its proper divisors (9796782).

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

6480978 is a wasteful number, since it uses less digits than its factorization.

6480978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6480978 is about 2545.7765023662. The cubic root of 6480978 is about 186.4433291243.

The spelling of 6480978 in words is "six million, four hundred eighty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 313 357 406 493 609 626 714 939 986 1218 1479 1878 2191 2958 3451 4382 5321 6573 6902 9077 10353 10642 13146 15963 18154 20706 27231 31926 37247 54462 63539 74494 111741 127078 154309 190617 223482 308618 381234 462927 925854 1080163 2160326 3240489 6480978