Search a number
-
+
20170416 = 2437173347
BaseRepresentation
bin100110011110…
…0011010110000
31101221202121110
41030330122300
520130423131
62000153320
7333305610
oct114743260
941852543
1020170416
1110427372
126908840
134242b76
142970a40
151b86646
hex133c6b0

20170416 has 80 divisors (see below), whose sum is σ = 60067584. Its totient is φ = 5713152.

The previous prime is 20170391. The next prime is 20170421. The reversal of 20170416 is 61407102.

It is a super-2 number, since 2×201704162 = 813691363226112, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20170392 and 20170401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57955 + ... + 58301.

Almost surely, 220170416 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 20170416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30033792).

20170416 is an abundant number, since it is smaller than the sum of its proper divisors (39897168).

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

20170416 is a wasteful number, since it uses less digits than its factorization.

20170416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

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

The square root of 20170416 is about 4491.1486281351. The cubic root of 20170416 is about 272.2105492025.

20170416 divided by its product of nonzero digits (336) gives a triangular number (60031 = T346).

Adding to 20170416 its reverse (61407102), we get a palindrome (81577518).

The spelling of 20170416 in words is "twenty million, one hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 347 519 692 694 1038 1041 1211 1384 1388 2076 2082 2422 2429 2768 2776 3633 4152 4164 4844 4858 5552 7266 7287 8304 8328 9688 9716 14532 14574 16656 19376 19432 29064 29148 38864 58128 58296 60031 116592 120062 180093 240124 360186 420217 480248 720372 840434 960496 1260651 1440744 1680868 2521302 2881488 3361736 5042604 6723472 10085208 20170416