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16642340 = 22511213232
BaseRepresentation
bin111111011111…
…000100100100
31011022111222222
4333133010210
513230023330
61352411512
7261312641
oct77370444
934274888
1016642340
119437700
1256a6b98
1335a9050
1422d2dc8
1516db0e5
hexfdf124

16642340 has 108 divisors (see below), whose sum is σ = 43246812. Its totient is φ = 5343360.

The previous prime is 16642313. The next prime is 16642343. The reversal of 16642340 is 4324661.

16642340 = T35 + T36 + ... + T463.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 12545764 = 2024^2 + 3542^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16642343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 723569 + ... + 723591.

Almost surely, 216642340 is an apocalyptic number.

16642340 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 16642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21623406).

16642340 is an abundant number, since it is smaller than the sum of its proper divisors (26604472).

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

16642340 is a wasteful number, since it uses less digits than its factorization.

16642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 16642340 is about 4079.5024206391. The cubic root of 16642340 is about 255.3121385890.

It can be divided in two parts, 1664 and 2340, that added together give a palindrome (4004).

The spelling of 16642340 in words is "sixteen million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 121 130 143 220 230 242 253 260 286 299 460 484 506 529 572 598 605 715 1012 1058 1196 1210 1265 1430 1495 1573 2116 2420 2530 2645 2783 2860 2990 3146 3289 5060 5290 5566 5819 5980 6292 6578 6877 7865 10580 11132 11638 13156 13754 13915 15730 16445 23276 27508 27830 29095 31460 32890 34385 36179 55660 58190 64009 65780 68770 72358 75647 116380 128018 137540 144716 151294 180895 256036 302588 320045 361790 378235 640090 723580 756470 832117 1280180 1512940 1664234 3328468 4160585 8321170 16642340