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2146936 = 231131787
BaseRepresentation
bin1000001100001001111000
311001002001011
420030021320
51022200221
6114003304
724151201
oct10141170
94032034
102146936
111237030
12876534
135a229c
143dc5a8
152c61e1
hex20c278

2146936 has 32 divisors (see below), whose sum is σ = 4538880. Its totient is φ = 943200.

The previous prime is 2146909. The next prime is 2146939. The reversal of 2146936 is 6396412.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2146898 and 2146907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146939) 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, 2335 + ... + 3121.

It is an arithmetic number, because the mean of its divisors is an integer number (141840).

22146936 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 2146936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269440).

2146936 is an abundant number, since it is smaller than the sum of its proper divisors (2391944).

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

2146936 is a wasteful number, since it uses less digits than its factorization.

2146936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2146936 is about 1465.2426420221. The cubic root of 2146936 is about 129.0049474296.

The spelling of 2146936 in words is "two million, one hundred forty-six thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 787 1364 1574 2728 3148 6296 8657 17314 24397 34628 48794 69256 97588 195176 268367 536734 1073468 2146936