Search a number
-
+
14942720 = 29513449
BaseRepresentation
bin111001000000…
…001000000000
31001010011120002
4321000020000
512311131340
61252135132
7241003532
oct71001000
931104502
1014942720
118486761
1250074a8
133132560
141dad852
1514a2715
hexe40200

14942720 has 80 divisors (see below), whose sum is σ = 38669400. Its totient is φ = 5505024.

The previous prime is 14942717. The next prime is 14942747. The reversal of 14942720 is 2724941.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 4804864 = 3184^2 + 2192^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33056 + ... + 33504.

Almost surely, 214942720 is an apocalyptic number.

14942720 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 14942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334700).

14942720 is an abundant number, since it is smaller than the sum of its proper divisors (23726680).

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

14942720 is an equidigital number, since it uses as much as digits as its factorization.

14942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 14942720 is about 3865.5814569092. The cubic root of 14942720 is about 246.3068856014.

The spelling of 14942720 in words is "fourteen million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 449 512 520 640 832 898 1040 1280 1664 1796 2080 2245 2560 3328 3592 4160 4490 5837 6656 7184 8320 8980 11674 14368 16640 17960 23348 28736 29185 33280 35920 46696 57472 58370 71840 93392 114944 116740 143680 186784 229888 233480 287360 373568 466960 574720 747136 933920 1149440 1494272 1867840 2988544 3735680 7471360 14942720