Search a number
-
+
14106360 = 23351923269
BaseRepresentation
bin110101110011…
…111011111000
3222112200021210
4311303323320
512102400420
61222203120
7230621262
oct65637370
928480253
1014106360
117a65354
1248834a0
132bcb978
141c32b32
1513899e0
hexd73ef8

14106360 has 128 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 3396096.

The previous prime is 14106359. The next prime is 14106371. The reversal of 14106360 is 6360141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52306 + ... + 52574.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 214106360 is an apocalyptic number.

14106360 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 14106360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328000).

14106360 is an abundant number, since it is smaller than the sum of its proper divisors (32549640).

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

14106360 is a wasteful number, since it uses less digits than its factorization.

14106360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 14106360 is about 3755.8434472166. The cubic root of 14106360 is about 241.6230271314.

The spelling of 14106360 in words is "fourteen million, one hundred six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 269 276 285 345 380 437 456 460 538 552 570 690 760 807 874 920 1076 1140 1311 1345 1380 1614 1748 2152 2185 2280 2622 2690 2760 3228 3496 4035 4370 5111 5244 5380 6187 6456 6555 8070 8740 10222 10488 10760 12374 13110 15333 16140 17480 18561 20444 24748 25555 26220 30666 30935 32280 37122 40888 49496 51110 52440 61332 61870 74244 76665 92805 102220 117553 122664 123740 148488 153330 185610 204440 235106 247480 306660 352659 371220 470212 587765 613320 705318 742440 940424 1175530 1410636 1763295 2351060 2821272 3526590 4702120 7053180 14106360