Search a number
-
+
12350772 = 2233717312
BaseRepresentation
bin101111000111…
…010100110100
3212020111002000
4233013110310
511130211042
61120415300
7206660040
oct57072464
925214060
1012350772
116a76355
124177530
132735865
1418d7020
15113e74c
hexbc7534

12350772 has 144 divisors (see below), whose sum is σ = 40037760. Its totient is φ = 3214080.

The previous prime is 12350699. The next prime is 12350773. The reversal of 12350772 is 27705321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12350773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398397 + ... + 398427.

It is an arithmetic number, because the mean of its divisors is an integer number (278040).

Almost surely, 212350772 is an apocalyptic number.

12350772 is a gapful number since it is divisible by the number (12) 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 12350772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018880).

12350772 is an abundant number, since it is smaller than the sum of its proper divisors (27686988).

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

12350772 is a wasteful number, since it uses less digits than its factorization.

12350772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12350772 is about 3514.3665147506. The cubic root of 12350772 is about 231.1522019379.

The spelling of 12350772 in words is "twelve million, three hundred fifty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 31 34 36 42 51 54 62 63 68 84 93 102 108 119 124 126 153 186 189 204 217 238 252 279 306 357 372 378 434 459 476 527 558 612 651 714 756 837 868 918 961 1054 1071 1116 1302 1428 1581 1674 1836 1922 1953 2108 2142 2604 2883 3162 3213 3348 3689 3844 3906 4284 4743 5766 5859 6324 6426 6727 7378 7812 8649 9486 11067 11532 11718 12852 13454 14229 14756 16337 17298 18972 20181 22134 23436 25947 26908 28458 32674 33201 34596 40362 44268 49011 51894 56916 60543 65348 66402 80724 98022 99603 103788 114359 121086 132804 147033 181629 196044 199206 228718 242172 294066 343077 363258 398412 441099 457436 588132 686154 726516 882198 1029231 1372308 1764396 2058462 3087693 4116924 6175386 12350772