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12773952 = 263267331
BaseRepresentation
bin110000101110…
…101001000000
3220000222120100
4300232221000
511232231302
61133442400
7213401562
oct60565100
926028510
1012773952
117235294
124340400
132853369
1419a7332
1511c4d1c
hexc2ea40

12773952 has 84 divisors (see below), whose sum is σ = 37272976. Its totient is φ = 4181760.

The previous prime is 12773951. The next prime is 12774029. The reversal of 12773952 is 25937721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12773951) 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, 38427 + ... + 38757.

Almost surely, 212773952 is an apocalyptic number.

12773952 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 12773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636488).

12773952 is an abundant number, since it is smaller than the sum of its proper divisors (24499024).

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

12773952 is a wasteful number, since it uses less digits than its factorization.

12773952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12773952 is about 3574.0665914333. The cubic root of 12773952 is about 233.7626346036.

The spelling of 12773952 in words is "twelve million, seven hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 331 402 536 576 603 662 804 993 1072 1206 1324 1608 1986 2144 2412 2648 2979 3216 3972 4288 4824 5296 5958 6432 7944 9648 10592 11916 12864 15888 19296 21184 22177 23832 31776 38592 44354 47664 63552 66531 88708 95328 133062 177416 190656 199593 266124 354832 399186 532248 709664 798372 1064496 1419328 1596744 2128992 3193488 4257984 6386976 12773952