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2141376 = 26319587
BaseRepresentation
bin1000001010110011000000
311000210102020
420022303000
51022011001
6113521440
724126036
oct10126300
94023366
102141376
111232936
12873280
1359c8b3
143da556
152c4736
hex20acc0

2141376 has 56 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 675072.

The previous prime is 2141333. The next prime is 2141401. The reversal of 2141376 is 6731412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3355 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

22141376 is an apocalyptic number.

2141376 is the 926-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2141376 is an abundant number, since it is smaller than the sum of its proper divisors (3832704).

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

2141376 is a wasteful number, since it uses less digits than its factorization.

2141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 2141376 is about 1463.3441153741. The cubic root of 2141376 is about 128.8934881875.

Adding to 2141376 its reverse (6731412), we get a palindrome (8872788).

The spelling of 2141376 in words is "two million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 587 608 912 1174 1216 1761 1824 2348 3522 3648 4696 7044 9392 11153 14088 18784 22306 28176 33459 37568 44612 56352 66918 89224 112704 133836 178448 267672 356896 535344 713792 1070688 2141376