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20001144 = 233853977
BaseRepresentation
bin100110001001…
…1000101111000
31101122011102010
41030103011320
520110014034
61552405520
7332002242
oct114230570
941564363
1020001144
1110321179
1268468a0
1341b3ac7
142929092
151b513e9
hex1313178

20001144 has 32 divisors (see below), whose sum is σ = 50112720. Its totient is φ = 6652416.

The previous prime is 20001139. The next prime is 20001151. The reversal of 20001144 is 44110002.

It is a super-2 number, since 2×200011442 = 800091522617472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19984 + ... + 20960.

Almost surely, 220001144 is an apocalyptic number.

20001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20001144 is an abundant number, since it is smaller than the sum of its proper divisors (30111576).

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

20001144 is a wasteful number, since it uses less digits than its factorization.

20001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20001144 is about 4472.2638562589. The cubic root of 20001144 is about 271.4469370504.

Adding to 20001144 its reverse (44110002), we get a palindrome (64111146).

The spelling of 20001144 in words is "twenty million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 853 977 1706 1954 2559 2931 3412 3908 5118 5862 6824 7816 10236 11724 20472 23448 833381 1666762 2500143 3333524 5000286 6667048 10000572 20001144