Search a number
-
+
14549920 = 2557111181
BaseRepresentation
bin110111100000…
…001110100000
31000101012201221
4313200032200
512211044140
61235504424
7234446410
oct67401640
930335657
1014549920
118238630
124a58114
133025828
141d0a640
15142614a
hexde03a0

14549920 has 96 divisors (see below), whose sum is σ = 42892416. Its totient is φ = 4531200.

The previous prime is 14549897. The next prime is 14549923. The reversal of 14549920 is 2994541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14549923) 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, 11730 + ... + 12910.

It is an arithmetic number, because the mean of its divisors is an integer number (446796).

Almost surely, 214549920 is an apocalyptic number.

14549920 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 14549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21446208).

14549920 is an abundant number, since it is smaller than the sum of its proper divisors (28342496).

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

14549920 is a wasteful number, since it uses less digits than its factorization.

14549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 14549920 is about 3814.4357380876. The cubic root of 14549920 is about 244.1294663642.

The spelling of 14549920 in words is "fourteen million, five hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1181 1232 1540 1760 2362 2464 3080 4724 5905 6160 8267 9448 11810 12320 12991 16534 18896 23620 25982 33068 37792 41335 47240 51964 64955 66136 82670 90937 94480 103928 129910 132272 165340 181874 188960 207856 259820 264544 330680 363748 415712 454685 519640 661360 727496 909370 1039280 1322720 1454992 1818740 2078560 2909984 3637480 7274960 14549920