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2141964 = 223411601
BaseRepresentation
bin1000001010111100001100
311000211020000
420022330030
51022020324
6113524300
724130536
oct10127414
94024200
102141964
111233320
12873690
1359cc46
143da856
152c49c9
hex20af0c

2141964 has 60 divisors (see below), whose sum is σ = 6118728. Its totient is φ = 648000.

The previous prime is 2141947. The next prime is 2141977. The reversal of 2141964 is 4691412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3264 + ... + 3864.

22141964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059364).

2141964 is an abundant number, since it is smaller than the sum of its proper divisors (3976764).

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

2141964 is a wasteful number, since it uses less digits than its factorization.

2141964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2141964 is about 1463.5450112655. The cubic root of 2141964 is about 128.9052847200.

The spelling of 2141964 in words is "two million, one hundred forty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 601 891 1188 1202 1782 1803 2404 3564 3606 5409 6611 7212 10818 13222 16227 19833 21636 26444 32454 39666 48681 59499 64908 79332 97362 118998 178497 194724 237996 356994 535491 713988 1070982 2141964