[go: up one dir, main page]

Search a number
-
+
1920834 = 23471167
BaseRepresentation
bin111010100111101000010
310121120220000
413110331002
5442431314
6105100430
722220046
oct7247502
93546800
101920834
1110a2173
12787716
135233b6
14380026
1527e209
hex1d4f42

1920834 has 40 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 627480.

The previous prime is 1920817. The next prime is 1920839. The reversal of 1920834 is 4380291.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1920798 and 1920807.

It is not an unprimeable number, because it can be changed into a prime (1920839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11419 + ... + 11585.

21920834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424).

1920834 is an abundant number, since it is smaller than the sum of its proper divisors (2470014).

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

1920834 is a wasteful number, since it uses less digits than its factorization.

1920834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1920834 is about 1385.9415572094. The cubic root of 1920834 is about 124.3072936880.

The spelling of 1920834 in words is "one million, nine hundred twenty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 167 213 334 426 501 639 1002 1278 1503 1917 3006 3834 4509 5751 9018 11502 11857 13527 23714 27054 35571 71142 106713 213426 320139 640278 960417 1920834