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12770032 = 241137253
BaseRepresentation
bin110000101101…
…101011110000
3220000210012011
4300231223300
511232120112
61133412304
7213354262
oct60555360
926023164
1012770032
117232350
12433a094
132851642
1419a5b32
1511c3aa7
hexc2daf0

12770032 has 60 divisors (see below), whose sum is σ = 28263816. Its totient is φ = 5541120.

The previous prime is 12769993. The next prime is 12770053. The reversal of 12770032 is 23007721.

12770032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12769985 and 12770012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240918 + ... + 240970.

Almost surely, 212770032 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 12770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131908).

12770032 is an abundant number, since it is smaller than the sum of its proper divisors (15493784).

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

12770032 is a wasteful number, since it uses less digits than its factorization.

12770032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 12770032 is about 3573.5181544243. The cubic root of 12770032 is about 233.7387202274.

Adding to 12770032 its reverse (23007721), we get a palindrome (35777753).

The spelling of 12770032 in words is "twelve million, seven hundred seventy thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 53 74 88 106 148 176 212 296 407 424 583 592 814 848 1166 1369 1628 1961 2332 2738 3256 3922 4664 5476 6512 7844 9328 10952 15059 15688 21571 21904 30118 31376 43142 60236 72557 86284 120472 145114 172568 240944 290228 345136 580456 798127 1160912 1596254 3192508 6385016 12770032