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6980480 = 27513839
BaseRepresentation
bin11010101000001110000000
3111010122102022
4122220032000
53241333410
6405341012
7113222153
oct32501600
914118368
106980480
113a385a1
122407768
1315a5380
14cd9c9a
1592d455
hex6a8380

6980480 has 64 divisors (see below), whose sum is σ = 17992800. Its totient is φ = 2574336.

The previous prime is 6980461. The next prime is 6980497. The reversal of 6980480 is 840896.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6980480.

It is a congruent number.

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, 7901 + ... + 8739.

Almost surely, 26980480 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 6980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996400).

6980480 is an abundant number, since it is smaller than the sum of its proper divisors (11012320).

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

6980480 is a wasteful number, since it uses less digits than its factorization.

6980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6980480 is about 2642.0598025026. The cubic root of 6980480 is about 191.1151412326.

The spelling of 6980480 in words is "six million, nine hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 839 1040 1664 1678 2080 3356 4160 4195 6712 8320 8390 10907 13424 16780 21814 26848 33560 43628 53696 54535 67120 87256 107392 109070 134240 174512 218140 268480 349024 436280 536960 698048 872560 1396096 1745120 3490240 6980480