Search a number
-
+
2153346 = 2313191453
BaseRepresentation
bin1000001101101110000010
311001101211120
420031232002
51022401341
6114053110
724205656
oct10155602
94041746
102153346
111240928
1287a196
135a5190
14400a66
152c8066
hex20db82

2153346 has 32 divisors (see below), whose sum is σ = 4885440. Its totient is φ = 627264.

The previous prime is 2153341. The next prime is 2153351. The reversal of 2153346 is 6433512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2153341) and next prime (2153351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 2208.

It is an arithmetic number, because the mean of its divisors is an integer number (152670).

22153346 is an apocalyptic number.

2153346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442720).

2153346 is an abundant number, since it is smaller than the sum of its proper divisors (2732094).

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

2153346 is a wasteful number, since it uses less digits than its factorization.

2153346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490.

The product of its digits is 2160, while the sum is 24.

The square root of 2153346 is about 1467.4283628171. The cubic root of 2153346 is about 129.1332077517.

Adding to 2153346 its reverse (6433512), we get a palindrome (8586858).

The spelling of 2153346 in words is "two million, one hundred fifty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1453 1482 2906 4359 8718 18889 27607 37778 55214 56667 82821 113334 165642 358891 717782 1076673 2153346