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6943968 = 25351947
BaseRepresentation
bin11010011111010011100000
3111001210100000
4122133103200
53234201333
6404500000
7113010543
oct32372340
914053300
106943968
113a13119
1223aa600
131591875
14cca85a
15922713
hex69f4e0

6943968 has 144 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2146176.

The previous prime is 6943919. The next prime is 6943991. The reversal of 6943968 is 8693496.

6943968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147721 + ... + 147767.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 26943968 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 6943968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6943968 is an abundant number, since it is smaller than the sum of its proper divisors (15070752).

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

6943968 is a wasteful number, since it uses less digits than its factorization.

6943968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 6943968 is about 2635.1409829457. The cubic root of 6943968 is about 190.7813438505.

The spelling of 6943968 in words is "six million, nine hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 47 48 54 57 72 76 81 94 96 108 114 141 144 152 162 171 188 216 228 243 282 288 304 324 342 376 423 432 456 486 513 564 608 648 684 752 846 864 893 912 972 1026 1128 1269 1296 1368 1504 1539 1692 1786 1824 1944 2052 2256 2538 2592 2679 2736 3078 3384 3572 3807 3888 4104 4512 4617 5076 5358 5472 6156 6768 7144 7614 7776 8037 8208 9234 10152 10716 11421 12312 13536 14288 15228 16074 16416 18468 20304 21432 22842 24111 24624 28576 30456 32148 36936 40608 42864 45684 48222 49248 60912 64296 72333 73872 85728 91368 96444 121824 128592 144666 147744 182736 192888 216999 257184 289332 365472 385776 433998 578664 771552 867996 1157328 1735992 2314656 3471984 6943968