Search a number
-
+
14090720 = 255723547
BaseRepresentation
bin110101110000…
…000111100000
3222111212211112
4311300013200
512101400340
61222002452
7230524550
oct65600740
928455745
1014090720
117a54626
124876428
132bc4807
141c2b160
151385065
hexd701e0

14090720 has 96 divisors (see below), whose sum is σ = 39771648. Its totient is φ = 4612608.

The previous prime is 14090717. The next prime is 14090729. The reversal of 14090720 is 2709041.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14090729) 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, 25487 + ... + 26033.

It is an arithmetic number, because the mean of its divisors is an integer number (414288).

Almost surely, 214090720 is an apocalyptic number.

14090720 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 14090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885824).

14090720 is an abundant number, since it is smaller than the sum of its proper divisors (25680928).

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

14090720 is a wasteful number, since it uses less digits than its factorization.

14090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 14090720 is about 3753.7607808703. The cubic root of 14090720 is about 241.5336967013.

Adding to 14090720 its reverse (2709041), we get a palindrome (16799761).

The spelling of 14090720 in words is "fourteen million, ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 547 560 644 736 805 920 1094 1120 1288 1610 1840 2188 2576 2735 3220 3680 3829 4376 5152 5470 6440 7658 8752 10940 12581 12880 15316 17504 19145 21880 25162 25760 30632 38290 43760 50324 61264 62905 76580 87520 88067 100648 122528 125810 153160 176134 201296 251620 306320 352268 402592 440335 503240 612640 704536 880670 1006480 1409072 1761340 2012960 2818144 3522680 7045360 14090720