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4760112 = 243731457
BaseRepresentation
bin10010001010001000110000
322221211122110
4102022020300
52204310422
6250005320
755313610
oct22121060
98854573
104760112
112761385
121716840
13ca8846
148bca40
1564060c
hex48a230

4760112 has 80 divisors (see below), whose sum is σ = 14538752. Its totient is φ = 1313280.

The previous prime is 4760101. The next prime is 4760117. The reversal of 4760112 is 2110674.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4760117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10188 + ... + 10644.

Almost surely, 24760112 is an apocalyptic number.

4760112 is a gapful number since it is divisible by the number (42) 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 4760112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269376).

4760112 is an abundant number, since it is smaller than the sum of its proper divisors (9778640).

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

4760112 is a wasteful number, since it uses less digits than its factorization.

4760112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4760112 is about 2181.7680903341. The cubic root of 4760112 is about 168.2179710401.

Adding to 4760112 its reverse (2110674), we get a palindrome (6870786).

The spelling of 4760112 in words is "four million, seven hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 457 496 651 744 868 914 1302 1371 1488 1736 1828 2604 2742 3199 3472 3656 5208 5484 6398 7312 9597 10416 10968 12796 14167 19194 21936 25592 28334 38388 42501 51184 56668 76776 85002 99169 113336 153552 170004 198338 226672 297507 340008 396676 595014 680016 793352 1190028 1586704 2380056 4760112