Search a number
-
+
14542000 = 245311661
BaseRepresentation
bin110111011110…
…010010110000
31000100210212121
4313132102300
512210321000
61235404024
7234414334
oct67362260
930323777
1014542000
118232690
124a53614
133022045
141d077c4
151423b1a
hexdde4b0

14542000 has 80 divisors (see below), whose sum is σ = 38417184. Its totient is φ = 5280000.

The previous prime is 14541983. The next prime is 14542001. The reversal of 14542000 is 24541.

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

It is a super-2 number, since 2×145420002 = 422939528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14542001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21670 + ... + 22330.

Almost surely, 214542000 is an apocalyptic number.

14542000 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 14542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208592).

14542000 is an abundant number, since it is smaller than the sum of its proper divisors (23875184).

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

14542000 is a wasteful number, since it uses less digits than its factorization.

14542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 14542000 is about 3813.3974353587. The cubic root of 14542000 is about 244.0851624253.

Adding to 14542000 its reverse (24541), we get a palindrome (14566541).

The spelling of 14542000 in words is "fourteen million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 661 880 1000 1100 1322 1375 2000 2200 2644 2750 3305 4400 5288 5500 6610 7271 10576 11000 13220 14542 16525 22000 26440 29084 33050 36355 52880 58168 66100 72710 82625 116336 132200 145420 165250 181775 264400 290840 330500 363550 581680 661000 727100 908875 1322000 1454200 1817750 2908400 3635500 7271000 14542000