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6995968 = 214761
BaseRepresentation
bin11010101100000000000000
3111011102122221
4122230000000
53242332333
6405540424
7113315260
oct32540000
914142587
106995968
113a491a1
122414714
1315ac435
14d017a0
15932d2d
hex6ac000

6995968 has 60 divisors (see below), whose sum is σ = 16252432. Its totient is φ = 2949120.

The previous prime is 6995957. The next prime is 6995977. The reversal of 6995968 is 8695996.

It is a happy number.

It is a d-powerful number, because it can be written as 64 + 9 + 96 + 53 + 97 + 68 + 83 .

Its product of digits (1049760) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114658 + ... + 114718.

Almost surely, 26995968 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 6995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126216).

6995968 is an abundant number, since it is smaller than the sum of its proper divisors (9256464).

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

6995968 is an frugal number, since it uses more digits than its factorization.

6995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 52.

The square root of 6995968 is about 2644.9892249308. The cubic root of 6995968 is about 191.2563829444.

The spelling of 6995968 in words is "six million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 854 896 976 1024 1708 1792 1952 2048 3416 3584 3904 4096 6832 7168 7808 8192 13664 14336 15616 16384 27328 28672 31232 54656 57344 62464 109312 114688 124928 218624 249856 437248 499712 874496 999424 1748992 3497984 6995968