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90123613 = 1710152489
BaseRepresentation
bin1010101111100…
…10110101011101
320021120202100121
411113302311131
5141032423423
612535354541
72143016026
oct527626535
9207522317
1090123613
1146966228
1226222a51
13158962a8
14bd7dc4d
157da345d
hex55f2d5d

90123613 has 8 divisors (see below), whose sum is σ = 96371640. Its totient is φ = 83980800.

The previous prime is 90123611. The next prime is 90123623. The reversal of 90123613 is 31632109.

It can be written as a sum of positive squares in 4 ways, for example, as 32924644 + 57198969 = 5738^2 + 7563^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90123613 - 21 = 90123611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90123611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24528 + ... + 27961.

It is an arithmetic number, because the mean of its divisors is an integer number (12046455).

Almost surely, 290123613 is an apocalyptic number.

It is an amenable number.

90123613 is a deficient number, since it is larger than the sum of its proper divisors (6248027).

90123613 is a wasteful number, since it uses less digits than its factorization.

90123613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52607.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 90123613 is about 9493.3457221361. The cubic root of 90123613 is about 448.3455511228.

The spelling of 90123613 in words is "ninety million, one hundred twenty-three thousand, six hundred thirteen".

Divisors: 1 17 101 1717 52489 892313 5301389 90123613