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6916896 = 253274773
BaseRepresentation
bin11010011000101100100000
3111000102012100
4122120230200
53232320041
6404130400
7112535610
oct32305440
914012170
106916896
1139a4848
122396a00
13158244c
14cc0a40
159196b6
hex698b20

6916896 has 144 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 1907712.

The previous prime is 6916883. The next prime is 6916919. The reversal of 6916896 is 6986196.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94716 + ... + 94788.

It is an arithmetic number, because the mean of its divisors is an integer number (161616).

Almost surely, 26916896 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 6916896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

6916896 is an abundant number, since it is smaller than the sum of its proper divisors (16355808).

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

6916896 is a wasteful number, since it uses less digits than its factorization.

6916896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 6916896 is about 2629.9992395436. Note that the first 3 decimals coincide. The cubic root of 6916896 is about 190.5330919841.

The spelling of 6916896 in words is "six million, nine hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 73 84 94 96 112 126 141 144 146 168 188 219 224 252 282 288 292 329 336 376 423 438 504 511 564 584 657 658 672 752 846 876 987 1008 1022 1128 1168 1314 1316 1504 1533 1692 1752 1974 2016 2044 2256 2336 2628 2632 2961 3066 3384 3431 3504 3948 4088 4512 4599 5256 5264 5922 6132 6768 6862 7008 7896 8176 9198 10293 10512 10528 11844 12264 13536 13724 15792 16352 18396 20586 21024 23688 24017 24528 27448 30879 31584 36792 41172 47376 48034 49056 54896 61758 72051 73584 82344 94752 96068 109792 123516 144102 147168 164688 192136 216153 247032 288204 329376 384272 432306 494064 576408 768544 864612 988128 1152816 1729224 2305632 3458448 6916896