Search a number
-
+
3720096 = 253212917
BaseRepresentation
bin1110001100001110100000
321000000000100
432030032200
51423020341
6211422400
743422522
oct16141640
97000010
103720096
112110a66
1212b4a00
13a03353
146cba12
154d73b6
hex38c3a0

3720096 has 36 divisors (see below), whose sum is σ = 10579842. Its totient is φ = 1239936.

The previous prime is 3720037. The next prime is 3720103. The reversal of 3720096 is 6900273.

3720096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 608400 = 1764^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×37200962 = 27678228498432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6171 + ... + 6746.

Almost surely, 23720096 is an apocalyptic number.

3720096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3720096 is an abundant number, since it is smaller than the sum of its proper divisors (6859746).

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

3720096 is a wasteful number, since it uses less digits than its factorization.

3720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3720096 is about 1928.7550388787. The cubic root of 3720096 is about 154.9475507591.

The spelling of 3720096 in words is "three million, seven hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12917 25834 38751 51668 77502 103336 116253 155004 206672 232506 310008 413344 465012 620016 930024 1240032 1860048 3720096