Search a number
-
+
14612080 = 245797269
BaseRepresentation
bin110111101111…
…011001110000
31000111101000011
4313233121300
512220041310
61241104304
7235125550
oct67573160
930441004
1014612080
1182802aa
124a88094
133047c02
141d25160
15143978a
hexdef670

14612080 has 80 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4939776.

The previous prime is 14612069. The next prime is 14612089. The reversal of 14612080 is 8021641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14612089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54186 + ... + 54454.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 214612080 is an apocalyptic number.

14612080 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 14612080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

14612080 is an abundant number, since it is smaller than the sum of its proper divisors (24760400).

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

14612080 is a wasteful number, since it uses less digits than its factorization.

14612080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 14612080 is about 3822.5750483149. The cubic root of 14612080 is about 244.4766281469.

The spelling of 14612080 in words is "fourteen million, six hundred twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 269 280 388 485 538 560 679 776 970 1076 1345 1358 1552 1883 1940 2152 2690 2716 3395 3766 3880 4304 5380 5432 6790 7532 7760 9415 10760 10864 13580 15064 18830 21520 26093 27160 30128 37660 52186 54320 75320 104372 130465 150640 182651 208744 260930 365302 417488 521860 730604 913255 1043720 1461208 1826510 2087440 2922416 3653020 7306040 14612080