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107047296 = 2732432161
BaseRepresentation
bin1100110000101…
…10100110000000
321110102120021200
412120112212000
5204401003141
614342221200
72436613146
oct630264600
9243376250
10107047296
1155475244
122ba24800
13192403c5
1410307596
1595e7ab6
hex6616980

107047296 has 96 divisors (see below), whose sum is σ = 315349320. Its totient is φ = 34836480.

The previous prime is 107047277. The next prime is 107047319. The reversal of 107047296 is 692740701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1070472962 = 22918247161823232, which contains 22 as substring.

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 107047296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48456 + ... + 50616.

Almost surely, 2107047296 is an apocalyptic number.

107047296 is a gapful number since it is divisible by the number (16) 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 107047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157674660).

107047296 is an abundant number, since it is smaller than the sum of its proper divisors (208302024).

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

107047296 is a wasteful number, since it uses less digits than its factorization.

107047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107047296 is about 10346.3663186647. The cubic root of 107047296 is about 474.8158784084.

Adding to 107047296 its reverse (692740701), we get a palindrome (799787997).

The spelling of 107047296 in words is "one hundred seven million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2161 2752 3096 4128 4322 5504 6192 6483 8256 8644 12384 12966 16512 17288 19449 24768 25932 34576 38898 49536 51864 69152 77796 92923 103728 138304 155592 185846 207456 276608 278769 311184 371692 414912 557538 622368 743384 829824 836307 1115076 1244736 1486768 1672614 2230152 2489472 2973536 3345228 4460304 5947072 6690456 8920608 11894144 13380912 17841216 26761824 35682432 53523648 107047296