Search a number
-
+
112753704 = 2337313697
BaseRepresentation
bin1101011100001…
…11110000101000
321212011111000010
412232013300220
5212331104304
615104411520
72536251000
oct656076050
9255144003
10112753704
1158712588
1231916ba0
131a48a88b
1410d91000
159d73789
hex6b87c28

112753704 has 64 divisors (see below), whose sum is σ = 328752000. Its totient is φ = 32212992.

The previous prime is 112753703. The next prime is 112753717. The reversal of 112753704 is 407357211.

It is not an unprimeable number, because it can be changed into a prime (112753703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (5136750).

Almost surely, 2112753704 is an apocalyptic number.

112753704 is a gapful number since it is divisible by the number (14) 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 112753704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376000).

112753704 is an abundant number, since it is smaller than the sum of its proper divisors (215998296).

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

112753704 is a wasteful number, since it uses less digits than its factorization.

112753704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 112753704 is about 10618.5547039133. The cubic root of 112753704 is about 483.1073065511.

The spelling of 112753704 in words is "one hundred twelve million, seven hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 13697 27394 41091 54788 82182 95879 109576 164364 191758 287637 328728 383516 575274 671153 767032 1150548 1342306 2013459 2301096 2684612 4026918 4698071 5369224 8053836 9396142 14094213 16107672 18792284 28188426 37584568 56376852 112753704