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6930396 = 22321123743
BaseRepresentation
bin11010011011111111011100
3111001002201100
4122123333130
53233233041
6404313100
7112623144
oct32337734
914032640
106930396
113a03a00
1223a2790
131588635
14cc5924
1591d6b6
hex69bfdc

6930396 has 108 divisors (see below), whose sum is σ = 20236216. Its totient is φ = 1995840.

The previous prime is 6930389. The next prime is 6930409.

6930396 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6930396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161151 + ... + 161193.

Almost surely, 26930396 is an apocalyptic number.

6930396 is a gapful number since it is divisible by the number (66) 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 6930396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118108).

6930396 is an abundant number, since it is smaller than the sum of its proper divisors (13305820).

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

6930396 is a wasteful number, since it uses less digits than its factorization.

6930396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 6930396 is about 2632.5645291236. The cubic root of 6930396 is about 190.6569686060.

The spelling of 6930396 in words is "six million, nine hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 43 44 66 74 86 99 111 121 129 132 148 172 198 222 242 258 333 363 387 396 407 444 473 484 516 666 726 774 814 946 1089 1221 1332 1419 1452 1548 1591 1628 1892 2178 2442 2838 3182 3663 4257 4356 4477 4773 4884 5203 5676 6364 7326 8514 8954 9546 10406 13431 14319 14652 15609 17028 17501 17908 19092 20812 26862 28638 31218 35002 40293 46827 52503 53724 57276 62436 70004 80586 93654 105006 157509 161172 187308 192511 210012 315018 385022 577533 630036 770044 1155066 1732599 2310132 3465198 6930396