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3713072 = 241117273
BaseRepresentation
bin1110001010100000110000
320222122101012
432022200300
51422304242
6211330052
743363166
oct16124060
96878335
103713072
112106760
1212b0928
13a000ac
146c9236
154d5282
hex38a830

3713072 has 60 divisors (see below), whose sum is σ = 8451096. Its totient is φ = 1566720.

The previous prime is 3713071. The next prime is 3713077. The reversal of 3713072 is 2703173.

It is not an unprimeable number, because it can be changed into a prime (3713071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50828 + ... + 50900.

Almost surely, 23713072 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 3713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225548).

3713072 is an abundant number, since it is smaller than the sum of its proper divisors (4738024).

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

3713072 is a wasteful number, since it uses less digits than its factorization.

With its successor (3713073) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (126).

3713072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 3713072 is about 1926.9333148814. The cubic root of 3713072 is about 154.8499692902.

It can be divided in two parts, 371 and 3072, that added together give a palindrome (3443).

The spelling of 3713072 in words is "three million, seven hundred thirteen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 73 88 136 146 176 187 272 289 292 374 578 584 748 803 1156 1168 1241 1496 1606 2312 2482 2992 3179 3212 4624 4964 6358 6424 9928 12716 12848 13651 19856 21097 25432 27302 42194 50864 54604 84388 109208 168776 218416 232067 337552 464134 928268 1856536 3713072