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470140112 = 241329411901
BaseRepresentation
bin11100000001011…
…100010011010000
31012202122120222202
4130001130103100
51430323440422
6114352422332
714436060611
oct3401342320
91182576882
10470140112
11221422252
121115479a8
137652bb20
1446621c08
152b41ab92
hex1c05c4d0

470140112 has 80 divisors (see below), whose sum is σ = 1040089680. Its totient is φ = 204288000.

The previous prime is 470140103. The next prime is 470140133. The reversal of 470140112 is 211041074.

It can be written as a sum of positive squares in 8 ways, for example, as 200392336 + 269747776 = 14156^2 + 16424^2 .

It is a super-2 number, since 2×4701401122 = 442063449822745088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 246362 + ... + 248262.

It is an arithmetic number, because the mean of its divisors is an integer number (13001121).

Almost surely, 2470140112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520044840).

470140112 is an abundant number, since it is smaller than the sum of its proper divisors (569949568).

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

470140112 is a wasteful number, since it uses less digits than its factorization.

470140112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 470140112 is about 21682.7145901983. The cubic root of 470140112 is about 777.5752622008.

Adding to 470140112 its reverse (211041074), we get a palindrome (681181186).

The spelling of 470140112 in words is "four hundred seventy million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 41 52 58 82 104 116 164 208 232 328 377 464 533 656 754 1066 1189 1508 1901 2132 2378 3016 3802 4264 4756 6032 7604 8528 9512 15208 15457 19024 24713 30416 30914 49426 55129 61828 77941 98852 110258 123656 155882 197704 220516 247312 311764 395408 441032 623528 716677 882064 1013233 1247056 1433354 2026466 2260289 2866708 4052932 4520578 5733416 8105864 9041156 11466832 16211728 18082312 29383757 36164624 58767514 117535028 235070056 470140112