Search a number
-
+
2170968 = 233172313
BaseRepresentation
bin1000010010000001011000
311002022000020
420102001120
51023432333
6114310440
724311232
oct10220130
94068006
102170968
111253098
12888420
135b01c7
14407252
152cd3b3
hex212058

2170968 has 48 divisors (see below), whose sum is σ = 5783880. Its totient is φ = 678912.

The previous prime is 2170943. The next prime is 2171003. The reversal of 2170968 is 8690712.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6780 + ... + 7092.

22170968 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 2170968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891940).

2170968 is an abundant number, since it is smaller than the sum of its proper divisors (3612912).

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

2170968 is a wasteful number, since it uses less digits than its factorization.

2170968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2170968 is about 1473.4205102414. The cubic root of 2170968 is about 129.4845069245.

The spelling of 2170968 in words is "two million, one hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 313 408 578 626 867 939 1156 1252 1734 1878 2312 2504 3468 3756 5321 6936 7512 10642 15963 21284 31926 42568 63852 90457 127704 180914 271371 361828 542742 723656 1085484 2170968