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12955032 = 2333371621
BaseRepresentation
bin110001011010…
…110110011000
3220101011222000
4301122312120
511304030112
61141401000
7215054526
oct61326630
926334860
1012955032
117349342
124409160
1328b78cc
141a13316
15120d7dc
hexc5ad98

12955032 has 64 divisors (see below), whose sum is σ = 36981600. Its totient is φ = 4199040.

The previous prime is 12955027. The next prime is 12955039. The reversal of 12955032 is 23055921.

12955032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12954987 and 12955005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7182 + ... + 8802.

Almost surely, 212955032 is an apocalyptic number.

12955032 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 12955032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490800).

12955032 is an abundant number, since it is smaller than the sum of its proper divisors (24026568).

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

12955032 is a wasteful number, since it uses less digits than its factorization.

12955032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 12955032 is about 3599.3099338623. The cubic root of 12955032 is about 234.8620406489.

The spelling of 12955032 in words is "twelve million, nine hundred fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1621 1998 2664 3242 3996 4863 6484 7992 9726 12968 14589 19452 29178 38904 43767 58356 59977 87534 116712 119954 175068 179931 239908 350136 359862 479816 539793 719724 1079586 1439448 1619379 2159172 3238758 4318344 6477516 12955032