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6978096 = 243329557
BaseRepresentation
bin11010100111101000110000
3111010112011000
4122213220300
53241244341
6405322000
7113212206
oct32475060
914115130
106978096
113a36824
122406300
1315a4268
14cd9076
1592c8b6
hex6a7a30

6978096 has 80 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 2241792.

The previous prime is 6978091. The next prime is 6978113. The reversal of 6978096 is 6908796.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6978091) by changing a digit.

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, 12250 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 26978096 is an apocalyptic number.

6978096 is the 1671-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6978096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

6978096 is an abundant number, since it is smaller than the sum of its proper divisors (13779504).

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

6978096 is a wasteful number, since it uses less digits than its factorization.

6978096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6978096 is about 2641.6086008340. The cubic root of 6978096 is about 191.0933819661.

The spelling of 6978096 in words is "six million, nine hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 557 696 783 1044 1114 1392 1566 1671 2088 2228 3132 3342 4176 4456 5013 6264 6684 8912 10026 12528 13368 15039 16153 20052 26736 30078 32306 40104 48459 60156 64612 80208 96918 120312 129224 145377 193836 240624 258448 290754 387672 436131 581508 775344 872262 1163016 1744524 2326032 3489048 6978096