Search a number
-
+
1630112112 = 243241436421
BaseRepresentation
bin110000100101001…
…1000100101110000
311012121100021102200
41201022120211300
511314302041422
6425430543200
755252503306
oct14112304560
94177307380
101630112112
117671793a2
12395b07b00
131cc949aa5
141166d2276
159819b2ac
hex61298970

1630112112 has 120 divisors (see below), whose sum is σ = 4782745968. Its totient is φ = 517708800.

The previous prime is 1630112101. The next prime is 1630112129. The reversal of 1630112112 is 2112110361.

1630112112 is a `hidden beast` number, since 1 + 630 + 1 + 1 + 21 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250662 + ... + 257082.

Almost surely, 21630112112 is an apocalyptic number.

1630112112 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 1630112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391372984).

1630112112 is an abundant number, since it is smaller than the sum of its proper divisors (3152633856).

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

1630112112 is a wasteful number, since it uses less digits than its factorization.

1630112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1630112112 is about 40374.6468962888. The cubic root of 1630112112 is about 1176.8989031756.

Adding to 1630112112 its reverse (2112110361), we get a palindrome (3742222473).

The spelling of 1630112112 in words is "one billion, six hundred thirty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 246 258 328 344 369 387 492 516 656 688 738 774 984 1032 1476 1548 1763 1968 2064 2952 3096 3526 5289 5904 6192 6421 7052 10578 12842 14104 15867 19263 21156 25684 28208 31734 38526 42312 51368 57789 63468 77052 84624 102736 115578 126936 154104 231156 253872 263261 276103 308208 462312 526522 552206 789783 828309 924624 1053044 1104412 1579566 1656618 2106088 2208824 2369349 2484927 3159132 3313236 4212176 4417648 4738698 4969854 6318264 6626472 9477396 9939708 11320223 12636528 13252944 18954792 19879416 22640446 33960669 37909584 39758832 45280892 67921338 90561784 101882007 135842676 181123568 203764014 271685352 407528028 543370704 815056056 1630112112