Search a number
-
+
14542100 = 2252314691
BaseRepresentation
bin110111011110…
…010100010100
31000100211000022
4313132110110
512210321400
61235404312
7234414536
oct67362424
930324008
1014542100
118232771
124a53698
1330220c1
141d07856
151423b85
hexdde514

14542100 has 36 divisors (see below), whose sum is σ = 32581248. Its totient is φ = 5628000.

The previous prime is 14542097. The next prime is 14542109. The reversal of 14542100 is 124541.

It is a super-2 number, since 2×145421002 = 422945344820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542109) 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 11 ways as a sum of consecutive naturals, for example, 755 + ... + 5445.

Almost surely, 214542100 is an apocalyptic number.

14542100 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 14542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290624).

14542100 is an abundant number, since it is smaller than the sum of its proper divisors (18039148).

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

14542100 is a wasteful number, since it uses less digits than its factorization.

14542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 14542100 is about 3813.4105470038. The cubic root of 14542100 is about 244.0857219187.

Adding to 14542100 its reverse (124541), we get a palindrome (14666641).

The spelling of 14542100 in words is "fourteen million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 4691 9382 18764 23455 46910 93820 117275 145421 234550 290842 469100 581684 727105 1454210 2908420 3635525 7271050 14542100