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6980948 = 22131753149
BaseRepresentation
bin11010101000010101010100
3111010200001122
4122220111110
53241342243
6405343112
7113223422
oct32502524
914120048
106980948
113a38987
122407a98
1315a5650
14cda112
1592d668
hex6a8554

6980948 has 48 divisors (see below), whose sum is σ = 14288400. Its totient is φ = 2955264.

The previous prime is 6980929. The next prime is 6980969. The reversal of 6980948 is 8490896.

It can be written as a sum of positive squares in 8 ways, for example, as 158404 + 6822544 = 398^2 + 2612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6980899 and 6980908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46778 + ... + 46926.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 26980948 is an apocalyptic number.

6980948 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6980948 is an abundant number, since it is smaller than the sum of its proper divisors (7307452).

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

6980948 is a wasteful number, since it uses less digits than its factorization.

6980948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 6980948 is about 2642.1483682791. The cubic root of 6980948 is about 191.1194121848.

The spelling of 6980948 in words is "six million, nine hundred eighty thousand, nine hundred forty-eight".

Divisors: 1 2 4 13 17 26 34 52 53 68 106 149 212 221 298 442 596 689 884 901 1378 1802 1937 2533 2756 3604 3874 5066 7748 7897 10132 11713 15794 23426 31588 32929 46852 65858 102661 131716 134249 205322 268498 410644 536996 1745237 3490474 6980948