Search a number
-
+
140736672 = 25321074567
BaseRepresentation
bin10000110001101…
…11100010100000
3100210211011102100
420120313202200
5242012033142
621544250400
73326145666
oct1030674240
9323734370
10140736672
11724955aa
123b170a00
132320774b
1414996c36
15c54eb4c
hex86378a0

140736672 has 72 divisors (see below), whose sum is σ = 404048736. Its totient is φ = 46463616.

The previous prime is 140736671. The next prime is 140736689. The reversal of 140736672 is 276637041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140736671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28533 + ... + 33099.

It is an arithmetic number, because the mean of its divisors is an integer number (5611788).

Almost surely, 2140736672 is an apocalyptic number.

140736672 is a gapful number since it is divisible by the number (12) 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 140736672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202024368).

140736672 is an abundant number, since it is smaller than the sum of its proper divisors (263312064).

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

140736672 is a wasteful number, since it uses less digits than its factorization.

140736672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 140736672 is about 11863.2487961772. The cubic root of 140736672 is about 520.1585709692.

The spelling of 140736672 in words is "one hundred forty million, seven hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 4567 5136 7704 9134 10272 13701 15408 18268 27402 30816 36536 41103 54804 73072 82206 109608 146144 164412 219216 328824 438432 488669 657648 977338 1315296 1466007 1954676 2932014 3909352 4398021 5864028 7818704 8796042 11728056 15637408 17592084 23456112 35184168 46912224 70368336 140736672