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2146368 = 26371597
BaseRepresentation
bin1000001100000001000000
311001001021010
420030001000
51022140433
6114000520
724146430
oct10140100
94031233
102146368
111236664
12876140
135a1c53
143dc2c0
152c5e63
hex20c040

2146368 has 56 divisors (see below), whose sum is σ = 6494272. Its totient is φ = 612864.

The previous prime is 2146367. The next prime is 2146387. The reversal of 2146368 is 8636412.

2146368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146367) 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, 546 + ... + 2142.

22146368 is an apocalyptic number.

2146368 is a gapful number since it is divisible by the number (28) 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 2146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247136).

2146368 is an abundant number, since it is smaller than the sum of its proper divisors (4347904).

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

2146368 is a wasteful number, since it uses less digits than its factorization.

2146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1609 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2146368 is about 1465.0488046478. The cubic root of 2146368 is about 128.9935697774.

The spelling of 2146368 in words is "two million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1597 3194 4791 6388 9582 11179 12776 19164 22358 25552 33537 38328 44716 51104 67074 76656 89432 102208 134148 153312 178864 268296 306624 357728 536592 715456 1073184 2146368