Search a number
-
+
14179440 = 24351141131
BaseRepresentation
bin110110000101…
…110001110000
3222200101112110
4312011301300
512112220230
61223525320
7231344322
oct66056160
928611473
1014179440
118005250
1248b9840
132c26002
141c51612
1513a14b0
hexd85c70

14179440 has 160 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 3328000.

The previous prime is 14179421. The next prime is 14179441. The reversal of 14179440 is 4497141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14179398 and 14179407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14179441) by changing a digit.

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, 108175 + ... + 108305.

Almost surely, 214179440 is an apocalyptic number.

14179440 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 14179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

14179440 is an abundant number, since it is smaller than the sum of its proper divisors (35317392).

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

14179440 is a wasteful number, since it uses less digits than its factorization.

14179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14179440 is about 3765.5597193512. The cubic root of 14179440 is about 242.0395627780.

The spelling of 14179440 in words is "fourteen million, one hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 131 132 164 165 176 205 220 240 246 262 264 328 330 393 410 440 451 492 524 528 615 655 656 660 786 820 880 902 984 1048 1230 1310 1320 1353 1441 1572 1640 1804 1965 1968 2096 2255 2460 2620 2640 2706 2882 3144 3280 3608 3930 4323 4510 4920 5240 5371 5412 5764 6288 6765 7205 7216 7860 8646 9020 9840 10480 10742 10824 11528 13530 14410 15720 16113 17292 18040 21484 21615 21648 23056 26855 27060 28820 31440 32226 34584 36080 42968 43230 53710 54120 57640 59081 64452 69168 80565 85936 86460 107420 108240 115280 118162 128904 161130 172920 177243 214840 236324 257808 295405 322260 345840 354486 429680 472648 590810 644520 708972 886215 945296 1181620 1289040 1417944 1772430 2363240 2835888 3544860 4726480 7089720 14179440