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1830362112 = 210321910453
BaseRepresentation
bin110110100011001…
…0001110000000000
311201120011000210100
41231012101300000
512222033041422
6501343002400
763233551455
oct15506216000
94646130710
101830362112
1185a212167
12430b99400
13232290b07
1413513b82c
15aaa547ac
hex6d191c00

1830362112 has 132 divisors (see below), whose sum is σ = 5563827880. Its totient is φ = 577953792.

The previous prime is 1830362087. The next prime is 1830362113. The reversal of 1830362112 is 2112630381.

It is a happy number.

1830362112 is a `hidden beast` number, since 1 + 8 + 30 + 3 + 621 + 1 + 2 = 666.

It is a super-2 number, since 2×18303621122 = 6700450922090201088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830362113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169878 + ... + 180330.

Almost surely, 21830362112 is an apocalyptic number.

1830362112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781913940).

1830362112 is an abundant number, since it is smaller than the sum of its proper divisors (3733465768).

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

1830362112 is a wasteful number, since it uses less digits than its factorization.

1830362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498 (or 10477 counting only the distinct ones).

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

The square root of 1830362112 is about 42782.7314696011. The cubic root of 1830362112 is about 1223.2418732136.

Adding to 1830362112 its reverse (2112630381), we get a palindrome (3942992493).

The spelling of 1830362112 in words is "one billion, eight hundred thirty million, three hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 7296 9216 9728 10453 10944 14592 19456 20906 21888 29184 31359 41812 43776 58368 62718 83624 87552 94077 125436 167248 175104 188154 198607 250872 334496 376308 397214 501744 595821 668992 752616 794428 1003488 1191642 1337984 1505232 1588856 1787463 2006976 2383284 2675968 3010464 3177712 3574926 4013952 4766568 5351936 6020928 6355424 7149852 8027904 9533136 10703872 12041856 12710848 14299704 16055808 19066272 24083712 25421696 28599408 32111616 38132544 48167424 50843392 57198816 76265088 96334848 101686784 114397632 152530176 203373568 228795264 305060352 457590528 610120704 915181056 1830362112