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2001376 = 251317283
BaseRepresentation
bin111101000100111100000
310202200101001
413220213200
51003021001
6110521344
723003626
oct7504740
93680331
102001376
111147733
12806254
13550c60
143a1516
15298001
hex1e89e0

2001376 has 48 divisors (see below), whose sum is σ = 4508784. Its totient is φ = 866304.

The previous prime is 2001371. The next prime is 2001397. The reversal of 2001376 is 6731002.

2001376 = T8 + T9 + ... + T228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6931 + ... + 7213.

It is an arithmetic number, because the mean of its divisors is an integer number (93933).

22001376 is an apocalyptic number.

2001376 is a gapful number since it is divisible by the number (26) 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 2001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254392).

2001376 is an abundant number, since it is smaller than the sum of its proper divisors (2507408).

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

2001376 is a wasteful number, since it uses less digits than its factorization.

2001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 2001376 is about 1414.6999681911. The cubic root of 2001376 is about 126.0209925550.

Adding to 2001376 its reverse (6731002), we get a palindrome (8732378).

The spelling of 2001376 in words is "two million, one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 283 416 442 544 566 884 1132 1768 2264 3536 3679 4528 4811 7072 7358 9056 9622 14716 19244 29432 38488 58864 62543 76976 117728 125086 153952 250172 500344 1000688 2001376