Search a number
-
+
16412480 = 265717431
BaseRepresentation
bin111110100110…
…111101000000
31010212211200122
4332212331000
513200144410
61343435412
7256334540
oct76467500
933784618
1016412480
11929aa37
1255b5b68
133528536
142273320
151692e55
hexfa6f40

16412480 has 112 divisors (see below), whose sum is σ = 47402496. Its totient is φ = 5283840.

The previous prime is 16412479. The next prime is 16412491. The reversal of 16412480 is 8421461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37865 + ... + 38295.

Almost surely, 216412480 is an apocalyptic number.

16412480 is a gapful number since it is divisible by the number (10) 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 16412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701248).

16412480 is an abundant number, since it is smaller than the sum of its proper divisors (30990016).

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

16412480 is a wasteful number, since it uses less digits than its factorization.

16412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 16412480 is about 4051.2319114067. The cubic root of 16412480 is about 254.1312484315.

The spelling of 16412480 in words is "sixteen million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 431 448 476 544 560 595 680 862 952 1088 1120 1190 1360 1724 1904 2155 2240 2380 2720 3017 3448 3808 4310 4760 5440 6034 6896 7327 7616 8620 9520 12068 13792 14654 15085 17240 19040 24136 27584 29308 30170 34480 36635 38080 48272 51289 58616 60340 68960 73270 96544 102578 117232 120680 137920 146540 193088 205156 234464 241360 256445 293080 410312 468928 482720 512890 586160 820624 965440 1025780 1172320 1641248 2051560 2344640 3282496 4103120 8206240 16412480