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1966950 = 233523147
BaseRepresentation
bin111100000001101100110
310200221011000
413200031212
51000420300
6110054130
722501356
oct7401546
93627130
101966950
111123887
127aa346
1353b39b
14392b66
1528cc00
hex1e0366

1966950 has 96 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 496800.

The previous prime is 1966933. The next prime is 1966963. The reversal of 1966950 is 596691.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41827 + ... + 41873.

It is an arithmetic number, because the mean of its divisors is an integer number (59520).

21966950 is an apocalyptic number.

1966950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

1966950 is an abundant number, since it is smaller than the sum of its proper divisors (3746970).

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

1966950 is a wasteful number, since it uses less digits than its factorization.

1966950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1966950 is about 1402.4799463807. The cubic root of 1966950 is about 125.2942401716.

It can be divided in two parts, 1966 and 950, that added together give a square (2916 = 542).

The spelling of 1966950 in words is "one million, nine hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 47 50 54 62 75 90 93 94 135 141 150 155 186 225 235 270 279 282 310 423 450 465 470 558 675 705 775 837 846 930 1175 1269 1350 1395 1410 1457 1550 1674 2115 2325 2350 2538 2790 2914 3525 4185 4230 4371 4650 6345 6975 7050 7285 8370 8742 10575 12690 13113 13950 14570 20925 21150 21855 26226 31725 36425 39339 41850 43710 63450 65565 72850 78678 109275 131130 196695 218550 327825 393390 655650 983475 1966950