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12952038 = 23112967101
BaseRepresentation
bin110001011010…
…000111100110
3220101000212010
4301122013212
511303431123
61141335050
7215043021
oct61320746
926330763
1012952038
117347070
124407486
1328b6438
141a121b8
15120c993
hexc5a1e6

12952038 has 64 divisors (see below), whose sum is σ = 29963520. Its totient is φ = 3696000.

The previous prime is 12952031. The next prime is 12952039. The reversal of 12952038 is 83025921.

It is a happy number.

12952038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12951996 and 12952014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128188 + ... + 128288.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 212952038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12952038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760).

12952038 is an abundant number, since it is smaller than the sum of its proper divisors (17011482).

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

12952038 is a wasteful number, since it uses less digits than its factorization.

12952038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12952038 is about 3598.8939967718. The cubic root of 12952038 is about 234.8439464925.

Adding to 12952038 its reverse (83025921), we get a palindrome (95977959).

It can be divided in two parts, 1295 and 2038, that added together give a palindrome (3333).

The spelling of 12952038 in words is "twelve million, nine hundred fifty-two thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 67 87 101 134 174 201 202 303 319 402 606 638 737 957 1111 1474 1914 1943 2211 2222 2929 3333 3886 4422 5829 5858 6666 6767 8787 11658 13534 17574 20301 21373 32219 40602 42746 64119 64438 74437 96657 128238 148874 193314 196243 223311 392486 446622 588729 1177458 2158673 4317346 6476019 12952038