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516404112 = 243710115217
BaseRepresentation
bin11110110001111…
…011001110010000
31022222201001021020
4132301323032100
52024144412422
6123124155440
715540235230
oct3661731620
91288631236
10516404112
11245551064
12124b38b80
1382ca9883
144c825cc0
153050895c
hex1ec7b390

516404112 has 80 divisors (see below), whose sum is σ = 1539818112. Its totient is φ = 146073600.

The previous prime is 516404111. The next prime is 516404123. The reversal of 516404112 is 211404615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (516404111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26328 + ... + 41544.

Almost surely, 2516404112 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 516404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769909056).

516404112 is an abundant number, since it is smaller than the sum of its proper divisors (1023414000).

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

516404112 is a wasteful number, since it uses less digits than its factorization.

516404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15336 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516404112 is about 22724.5266617371. The cubic root of 516404112 is about 802.2872626381.

Adding to 516404112 its reverse (211404615), we get a palindrome (727808727).

The spelling of 516404112 in words is "five hundred sixteen million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 15217 16968 30434 33936 45651 60868 91302 106519 121736 182604 213038 243472 319557 365208 426076 639114 730416 852152 1278228 1536917 1704304 2556456 3073834 4610751 5112912 6147668 9221502 10758419 12295336 18443004 21516838 24590672 32275257 36886008 43033676 64550514 73772016 86067352 129101028 172134704 258202056 516404112