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1830236112 = 243260720939
BaseRepresentation
bin110110100010111…
…0010111111010000
311201112220121221200
41231011302333100
512222020023422
6501340151200
763232515225
oct15505627720
94645817850
101830236112
1185a136531
12430b38500
13232248663
1413510794c
15aaa2c2ac
hex6d172fd0

1830236112 has 60 divisors (see below), whose sum is σ = 5130802560. Its totient is φ = 609044544.

The previous prime is 1830236069. The next prime is 1830236129. The reversal of 1830236112 is 2116320381.

It is a happy number.

1830236112 is a `hidden beast` number, since 18 + 30 + 2 + 3 + 611 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76939 + ... + 97877.

It is an arithmetic number, because the mean of its divisors is an integer number (85513376).

Almost surely, 21830236112 is an apocalyptic number.

1830236112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830236112 is an abundant number, since it is smaller than the sum of its proper divisors (3300566448).

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

1830236112 is a wasteful number, since it uses less digits than its factorization.

1830236112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21560 (or 21551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1830236112 is about 42781.2588875082. The cubic root of 1830236112 is about 1223.2138037200.

Adding to 1830236112 its reverse (2116320381), we get a palindrome (3946556493).

The spelling of 1830236112 in words is "one billion, eight hundred thirty million, two hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 607 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 20939 21852 29136 41878 43704 62817 83756 87408 125634 167512 188451 251268 335024 376902 502536 753804 1005072 1507608 3015216 12709973 25419946 38129919 50839892 76259838 101679784 114389757 152519676 203359568 228779514 305039352 457559028 610078704 915118056 1830236112