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123072469 = 13173731493
BaseRepresentation
bin1110101010111…
…10111111010101
322120120201200121
413111132333111
5223001304334
620113511541
73023045602
oct725367725
9276521617
10123072469
1163520193
12352725b1
131c661560
14124b96a9
15ac10db4
hex755efd5

123072469 has 16 divisors (see below), whose sum is σ = 140806512. Its totient is φ = 106564608.

The previous prime is 123072463. The next prime is 123072473. The reversal of 123072469 is 964270321.

It can be written as a sum of positive squares in 8 ways, for example, as 4153444 + 118919025 = 2038^2 + 10905^2 .

It is not a de Polignac number, because 123072469 - 29 = 123071957 is a prime.

It is a super-2 number, since 2×1230724692 = 30293665251511922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123072463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81687 + ... + 83179.

It is an arithmetic number, because the mean of its divisors is an integer number (8800407).

Almost surely, 2123072469 is an apocalyptic number.

It is an amenable number.

123072469 is a deficient number, since it is larger than the sum of its proper divisors (17734043).

123072469 is a wasteful number, since it uses less digits than its factorization.

123072469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 123072469 is about 11093.8031801542. The cubic root of 123072469 is about 497.4166340956.

The spelling of 123072469 in words is "one hundred twenty-three million, seventy-two thousand, four hundred sixty-nine".

Divisors: 1 13 17 221 373 1493 4849 6341 19409 25381 82433 329953 556889 7239557 9467113 123072469