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2146950 = 2325213367
BaseRepresentation
bin1000001100001010000110
311001002001200
420030022012
51022200300
6114003330
724151221
oct10141206
94032050
102146950
111237043
12876546
135a22b0
143dc5b8
152c6200
hex20c286

2146950 has 72 divisors (see below), whose sum is σ = 6228768. Its totient is φ = 527040.

The previous prime is 2146939. The next prime is 2146979. The reversal of 2146950 is 596412.

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 35 ways as a sum of consecutive naturals, for example, 5667 + ... + 6033.

22146950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114384).

2146950 is an abundant number, since it is smaller than the sum of its proper divisors (4081818).

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

2146950 is a wasteful number, since it uses less digits than its factorization.

2146950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2146950 is about 1465.2474193801. The cubic root of 2146950 is about 129.0052278393.

It can be divided in two parts, 21 and 46950, that added together give a triangular number (46971 = T306).

The spelling of 2146950 in words is "two million, one hundred forty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 367 390 450 585 650 734 975 1101 1170 1835 1950 2202 2925 3303 3670 4771 5505 5850 6606 9175 9542 11010 14313 16515 18350 23855 27525 28626 33030 42939 47710 55050 71565 82575 85878 119275 143130 165150 214695 238550 357825 429390 715650 1073475 2146950