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123690384 = 2432858961
BaseRepresentation
bin1110101111101…
…01110110010000
322121202010022100
413113311312100
5223131043014
620135040400
73031231236
oct727656620
9277663270
10123690384
1163902464
1235510100
131c81989c
14125da956
15acd4009
hex75f5d90

123690384 has 30 divisors (see below), whose sum is σ = 346161686. Its totient is φ = 41230080.

The previous prime is 123690383. The next prime is 123690407. The reversal of 123690384 is 483096321.

It can be written as a sum of positive squares in only one way, i.e., 121616784 + 2073600 = 11028^2 + 1440^2 .

It is a super-2 number, since 2×1236903842 = 30598622188134912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123690383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429337 + ... + 429624.

Almost surely, 2123690384 is an apocalyptic number.

It is an amenable number.

123690384 is an abundant number, since it is smaller than the sum of its proper divisors (222471302).

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

123690384 is a wasteful number, since it uses less digits than its factorization.

123690384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858975 (or 858966 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 123690384 is about 11121.6178679183. The cubic root of 123690384 is about 498.2477114771.

The spelling of 123690384 in words is "one hundred twenty-three million, six hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 858961 1717922 2576883 3435844 5153766 6871688 7730649 10307532 13743376 15461298 20615064 30922596 41230128 61845192 123690384