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14242704 = 2437192397
BaseRepresentation
bin110110010101…
…001110010000
3222210121022120
4312111032100
512121231304
61225134240
7232026630
oct66251620
928717276
1014242704
118048833
12492a380
132c48a48
141c6a6c0
1513b50d9
hexd95390

14242704 has 160 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3649536.

The previous prime is 14242667. The next prime is 14242721. The reversal of 14242704 is 40724241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146784 + ... + 146880.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 214242704 is an apocalyptic number.

14242704 is a gapful number since it is divisible by the number (14) 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 14242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14242704 is an abundant number, since it is smaller than the sum of its proper divisors (32420976).

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

14242704 is a wasteful number, since it uses less digits than its factorization.

14242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 14242704 is about 3773.9507150995. The cubic root of 14242704 is about 242.3989957370.

Adding to 14242704 its reverse (40724241), we get a palindrome (54966945).

The spelling of 14242704 in words is "fourteen million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 97 112 114 133 138 152 161 168 184 194 228 266 276 291 304 322 336 368 388 399 437 456 483 532 552 582 644 679 776 798 874 912 966 1064 1104 1164 1288 1311 1358 1552 1596 1748 1843 1932 2037 2128 2231 2328 2576 2622 2716 3059 3192 3496 3686 3864 4074 4462 4656 5244 5432 5529 6118 6384 6693 6992 7372 7728 8148 8924 9177 10488 10864 11058 12236 12901 13386 14744 15617 16296 17848 18354 20976 22116 24472 25802 26772 29488 31234 32592 35696 36708 38703 42389 44232 46851 48944 51604 53544 62468 73416 77406 84778 88464 93702 103208 107088 124936 127167 146832 154812 169556 187404 206416 249872 254334 296723 309624 339112 374808 508668 593446 619248 678224 749616 890169 1017336 1186892 1780338 2034672 2373784 3560676 4747568 7121352 14242704