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1966920 = 233537443
BaseRepresentation
bin111100000001101001000
310200221002220
413200031020
51000420140
6110054040
722501314
oct7401510
93627086
101966920
11112385a
127aa320
1353b377
14392b44
1528cbd0
hex1e0348

1966920 has 64 divisors (see below), whose sum is σ = 6073920. Its totient is φ = 509184.

The previous prime is 1966907. The next prime is 1966931. The reversal of 1966920 is 296691.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (94905).

21966920 is an apocalyptic number.

1966920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036960).

1966920 is an abundant number, since it is smaller than the sum of its proper divisors (4107000).

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

1966920 is a wasteful number, since it uses less digits than its factorization.

1966920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1966920 is about 1402.4692509998. The cubic root of 1966920 is about 125.2936031708.

The spelling of 1966920 in words is "one million, nine hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 443 444 555 740 886 888 1110 1329 1480 1772 2215 2220 2658 3544 4430 4440 5316 6645 8860 10632 13290 16391 17720 26580 32782 49173 53160 65564 81955 98346 131128 163910 196692 245865 327820 393384 491730 655640 983460 1966920