Search a number
-
+
15142200 = 2335225237
BaseRepresentation
bin111001110000…
…110100111000
31001111022012020
4321300310320
512334022300
61300314440
7242464233
oct71606470
931438166
1015142200
118602617
1250a2a20
1331a22a8
14202241a
1514e18a0
hexe70d38

15142200 has 48 divisors (see below), whose sum is σ = 46942680. Its totient is φ = 4037760.

The previous prime is 15142177. The next prime is 15142219. The reversal of 15142200 is 224151.

15142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 15142200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12019 + ... + 13218.

Almost surely, 215142200 is an apocalyptic number.

15142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15142200 is an abundant number, since it is smaller than the sum of its proper divisors (31800480).

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

15142200 is a wasteful number, since it uses less digits than its factorization.

15142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25256 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15142200 is about 3891.2979839637. The cubic root of 15142200 is about 247.3980806764.

Adding to 15142200 its reverse (224151), we get a palindrome (15366351).

The spelling of 15142200 in words is "fifteen million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 25237 50474 75711 100948 126185 151422 201896 252370 302844 378555 504740 605688 630925 757110 1009480 1261850 1514220 1892775 2523700 3028440 3785550 5047400 7571100 15142200