Search a number
-
+
14322960 = 2433519349
BaseRepresentation
bin110110101000…
…110100010000
3222221200102000
4312220310100
512131313320
61230554000
7232512621
oct66506420
928850360
1014322960
1180a3063
124968900
132c76432
141c8ba48
1513cdc90
hexda8d10

14322960 has 160 divisors (see below), whose sum is σ = 52080000. Its totient is φ = 3608064.

The previous prime is 14322949. The next prime is 14322967. The reversal of 14322960 is 6922341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14322967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40866 + ... + 41214.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 214322960 is an apocalyptic number.

14322960 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 14322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040000).

14322960 is an abundant number, since it is smaller than the sum of its proper divisors (37757040).

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

14322960 is a wasteful number, since it uses less digits than its factorization.

14322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14322960 is about 3784.5686676291. The cubic root of 14322960 is about 242.8534400490.

The spelling of 14322960 in words is "fourteen million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 349 360 380 432 456 513 540 570 684 698 720 760 855 912 1026 1047 1080 1140 1368 1396 1520 1710 1745 2052 2094 2160 2280 2565 2736 2792 3141 3420 3490 4104 4188 4560 5130 5235 5584 6282 6631 6840 6980 8208 8376 9423 10260 10470 12564 13262 13680 13960 15705 16752 18846 19893 20520 20940 25128 26524 27920 31410 33155 37692 39786 41040 41880 47115 50256 53048 59679 62820 66310 75384 79572 83760 94230 99465 106096 119358 125640 132620 150768 159144 179037 188460 198930 238716 251280 265240 298395 318288 358074 376920 397860 477432 530480 596790 716148 753840 795720 895185 954864 1193580 1432296 1591440 1790370 2387160 2864592 3580740 4774320 7161480 14322960