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2146956 = 223761419
BaseRepresentation
bin1000001100001010001100
311001002001220
420030022030
51022200311
6114003340
724151230
oct10141214
94032056
102146956
111237049
12876550
135a22b6
143dc5c0
152c6206
hex20c28c

2146956 has 48 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 601920.

The previous prime is 2146939. The next prime is 2146979. The reversal of 2146956 is 6596412.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4915 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

22146956 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 2146956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2146956 is an abundant number, since it is smaller than the sum of its proper divisors (3686004).

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

2146956 is a wasteful number, since it uses less digits than its factorization.

2146956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2146956 is about 1465.2494668144. The cubic root of 2146956 is about 129.0053480146.

The spelling of 2146956 in words is "two million, one hundred forty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 419 427 732 838 854 1257 1281 1676 1708 2514 2562 2933 5028 5124 5866 8799 11732 17598 25559 35196 51118 76677 102236 153354 178913 306708 357826 536739 715652 1073478 2146956