Search a number
-
+
2153361 = 3741261
BaseRepresentation
bin1000001101101110010001
311001101212010
420031232101
51022401421
6114053133
724206010
oct10155621
94041763
102153361
111240941
1287a1a9
135a51a2
14400a77
152c8076
hex20db91

2153361 has 24 divisors (see below), whose sum is σ = 3418432. Its totient is φ = 1180800.

The previous prime is 2153351. The next prime is 2153369. The reversal of 2153361 is 1633512.

It is not a de Polignac number, because 2153361 - 26 = 2153297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2153369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35271 + ... + 35331.

22153361 is an apocalyptic number.

2153361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2153361 is a deficient number, since it is larger than the sum of its proper divisors (1265071).

2153361 is an equidigital number, since it uses as much as digits as its factorization.

2153361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 2153361 is about 1467.4334737902. The cubic root of 2153361 is about 129.1335075942.

Adding to 2153361 its reverse (1633512), we get a palindrome (3786873).

The spelling of 2153361 in words is "two million, one hundred fifty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 21 41 61 123 183 287 427 861 1281 1681 2501 5043 7503 11767 17507 35301 52521 102541 307623 717787 2153361