Search a number
-
+
16243380 = 22325314171
BaseRepresentation
bin111101111101…
…101010110100
31010120020201200
4331331222310
513124242010
61340052500
7255031536
oct75755264
933506650
1016243380
11919498a
125534130
13349958a
14222b856
15165ccc0
hexf7dab4

16243380 has 144 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 4032000.

The previous prime is 16243363. The next prime is 16243391. The reversal of 16243380 is 8334261.

It is a happy number.

16243380 is a `hidden beast` number, since 1 + 624 + 3 + 38 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228745 + ... + 228815.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

It is a vampire number, since it can be written as 38134260 (with its own digits).

Almost surely, 216243380 is an apocalyptic number.

16243380 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 16243380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

16243380 is an abundant number, since it is smaller than the sum of its proper divisors (36591948).

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

16243380 is a wasteful number, since it uses less digits than its factorization.

16243380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16243380 is about 4030.3076805624. The cubic root of 16243380 is about 253.2554508204.

The spelling of 16243380 in words is "sixteen million, two hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 71 82 90 93 123 124 142 155 164 180 186 205 213 246 279 284 310 355 369 372 410 426 465 492 558 615 620 639 710 738 820 852 930 1065 1116 1230 1271 1278 1395 1420 1476 1845 1860 2130 2201 2460 2542 2556 2790 2911 3195 3690 3813 4260 4402 5084 5580 5822 6355 6390 6603 7380 7626 8733 8804 11005 11439 11644 12710 12780 13206 14555 15252 17466 19065 19809 22010 22878 25420 26199 26412 29110 33015 34932 38130 39618 43665 44020 45756 52398 57195 58220 66030 76260 79236 87330 90241 99045 104796 114390 130995 132060 174660 180482 198090 228780 261990 270723 360964 396180 451205 523980 541446 812169 902410 1082892 1353615 1624338 1804820 2707230 3248676 4060845 5414460 8121690 16243380