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12074272 = 257192837
BaseRepresentation
bin101110000011…
…110100100000
3211201102210021
4232003310200
511042334042
61110443224
7204425650
oct56036440
924642707
1012074272
1168a7641
124063514
132669a52
141864360
1510d7867
hexb83d20

12074272 has 48 divisors (see below), whose sum is σ = 28607040. Its totient is φ = 4900608.

The previous prime is 12074263. The next prime is 12074297. The reversal of 12074272 is 27247021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2838 + ... + 5674.

It is an arithmetic number, because the mean of its divisors is an integer number (595980).

Almost surely, 212074272 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 12074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303520).

12074272 is an abundant number, since it is smaller than the sum of its proper divisors (16532768).

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

12074272 is a wasteful number, since it uses less digits than its factorization.

12074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 12074272 is about 3474.8053182876. The cubic root of 12074272 is about 229.4142119036.

The spelling of 12074272 in words is "twelve million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2837 4256 5674 11348 19859 22696 39718 45392 53903 79436 90784 107806 158872 215612 317744 377321 431224 635488 754642 862448 1509284 1724896 3018568 6037136 12074272