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124232641 = 13731091201
BaseRepresentation
bin1110110011110…
…10001111000001
322122202200010221
413121322033001
5223300421031
620154423041
73035650201
oct731721701
9278680127
10124232641
1164142905
1235731a81
131c979650
14126dc401
15ad8ea11
hex767a3c1

124232641 has 16 divisors (see below), whose sum is σ = 136979920. Its totient is φ = 111974400.

The previous prime is 124232639. The next prime is 124232663. The reversal of 124232641 is 146232421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21818241 + 102414400 = 4671^2 + 10120^2 .

It is a 7-Lehmer number, since φ(124232641) divides (124232641-1)7.

It is a cyclic number.

It is not a de Polignac number, because 124232641 - 21 = 124232639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124232611) 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, 102841 + ... + 104041.

It is an arithmetic number, because the mean of its divisors is an integer number (8561245).

Almost surely, 2124232641 is an apocalyptic number.

It is an amenable number.

124232641 is a deficient number, since it is larger than the sum of its proper divisors (12747279).

124232641 is a wasteful number, since it uses less digits than its factorization.

124232641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its digits is 2304, while the sum is 25.

The square root of 124232641 is about 11145.9697200378. The cubic root of 124232641 is about 498.9747538442.

The spelling of 124232641 in words is "one hundred twenty-four million, two hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 13 73 109 949 1201 1417 7957 15613 87673 103441 130909 1139749 1701817 9556357 124232641