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14272440 = 23357131307
BaseRepresentation
bin110110011100…
…011110111000
3222212010002220
4312130132320
512123204230
61225524040
7232212420
oct66343670
928763086
1014272440
118069106
124943620
132c59440
141c77480
1513bdd10
hexd9c7b8

14272440 has 128 divisors (see below), whose sum is σ = 52738560. Its totient is φ = 3009024.

The previous prime is 14272429. The next prime is 14272441. The reversal of 14272440 is 4427241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14272440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14272441) 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, 10267 + ... + 11573.

It is an arithmetic number, because the mean of its divisors is an integer number (412020).

Almost surely, 214272440 is an apocalyptic number.

14272440 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 14272440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26369280).

14272440 is an abundant number, since it is smaller than the sum of its proper divisors (38466120).

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

14272440 is a wasteful number, since it uses less digits than its factorization.

14272440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

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

The square root of 14272440 is about 3777.8882990369. Note that the first 3 decimals coincide. The cubic root of 14272440 is about 242.5675724825.

Adding to 14272440 its reverse (4427241), we get a palindrome (18699681).

The spelling of 14272440 in words is "fourteen million, two hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1307 1365 1560 1820 2184 2614 2730 3640 3921 5228 5460 6535 7842 9149 10456 10920 13070 15684 16991 18298 19605 26140 27447 31368 33982 36596 39210 45745 50973 52280 54894 67964 73192 78420 84955 91490 101946 109788 118937 135928 137235 156840 169910 182980 203892 219576 237874 254865 274470 339820 356811 365960 407784 475748 509730 548940 594685 679640 713622 951496 1019460 1097880 1189370 1427244 1784055 2038920 2378740 2854488 3568110 4757480 7136220 14272440