Search a number
-
+
12077312 = 281319191
BaseRepresentation
bin101110000100…
…100100000000
3211201120221212
4232010210000
511042433222
61110505252
7204440552
oct56044400
924646855
1012077312
1168a9955
124065228
13266b250
1418654d2
1510d86e2
hexb84900

12077312 has 72 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 5253120.

The previous prime is 12077291. The next prime is 12077333. The reversal of 12077312 is 21377021.

It is an interprime number because it is at equal distance from previous prime (12077291) and next prime (12077333).

It is a super-2 number, since 2×120773122 = 291722930290688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63137 + ... + 63327.

Almost surely, 212077312 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 12077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735680).

12077312 is an abundant number, since it is smaller than the sum of its proper divisors (15394048).

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

12077312 is a wasteful number, since it uses less digits than its factorization.

12077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 12077312 is about 3475.2427253359. The cubic root of 12077312 is about 229.4334638768.

The spelling of 12077312 in words is "twelve million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 191 208 247 256 304 382 416 494 608 764 832 988 1216 1528 1664 1976 2432 2483 3056 3328 3629 3952 4864 4966 6112 7258 7904 9932 12224 14516 15808 19864 24448 29032 31616 39728 47177 48896 58064 63232 79456 94354 116128 158912 188708 232256 317824 377416 464512 635648 754832 929024 1509664 3019328 6038656 12077312