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9074016 = 253272643
BaseRepresentation
bin100010100111…
…010101100000
3122002000012200
4202213111200
54310332031
6522253200
7140061600
oct42472540
918060180
109074016
115138496
123057200
131b59253
1412c2c00
15be38e6
hex8a7560

9074016 has 108 divisors (see below), whose sum is σ = 30063852. Its totient is φ = 2588544.

The previous prime is 9074003. The next prime is 9074027. The reversal of 9074016 is 6104709.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13791 + ... + 14433.

It is an arithmetic number, because the mean of its divisors is an integer number (278369).

Almost surely, 29074016 is an apocalyptic number.

9074016 is a gapful number since it is divisible by the number (96) 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 9074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031926).

9074016 is an abundant number, since it is smaller than the sum of its proper divisors (20989836).

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

9074016 is a wasteful number, since it uses less digits than its factorization.

9074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9074016 is about 3012.3107409429. The cubic root of 9074016 is about 208.5770465563.

The spelling of 9074016 in words is "nine million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 643 672 784 882 1008 1176 1286 1568 1764 1929 2016 2352 2572 3528 3858 4501 4704 5144 5787 7056 7716 9002 10288 11574 13503 14112 15432 18004 20576 23148 27006 30864 31507 36008 40509 46296 54012 61728 63014 72016 81018 92592 94521 108024 126028 144032 162036 185184 189042 216048 252056 283563 324072 378084 432096 504112 567126 648144 756168 1008224 1134252 1296288 1512336 2268504 3024672 4537008 9074016