[go: up one dir, main page]

Search a number
-
+
1946000 = 24537139
BaseRepresentation
bin111011011000110010000
310122212102002
413123012100
5444233000
6105413132
722353320
oct7330620
93585362
101946000
11110a071
1279a1a8
135319a4
14389280
152868d5
hex1db190

1946000 has 80 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 662400.

The previous prime is 1945991. The next prime is 1946011. The reversal of 1946000 is 6491.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13931 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

21946000 is an apocalyptic number.

1946000 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 1946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

1946000 is an abundant number, since it is smaller than the sum of its proper divisors (3470320).

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

1946000 is a wasteful number, since it uses less digits than its factorization.

1946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1946000 is about 1394.9910393977. The cubic root of 1946000 is about 124.8478147925.

The spelling of 1946000 in words is "one million, nine hundred forty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 139 140 175 200 250 278 280 350 400 500 556 560 695 700 875 973 1000 1112 1390 1400 1750 1946 2000 2224 2780 2800 3475 3500 3892 4865 5560 6950 7000 7784 9730 11120 13900 14000 15568 17375 19460 24325 27800 34750 38920 48650 55600 69500 77840 97300 121625 139000 194600 243250 278000 389200 486500 973000 1946000