[go: up one dir, main page]

Search a number
-
+
1920424 = 2311139157
BaseRepresentation
bin111010100110110101000
310121120022211
413110312220
5442423144
6105054504
722215622
oct7246650
93546284
101920424
1110a1930
12787434
1352315c
1437dc12
1527e034
hex1d4da8

1920424 has 32 divisors (see below), whose sum is σ = 3981600. Its totient is φ = 861120.

The previous prime is 1920407. The next prime is 1920427. The reversal of 1920424 is 4240291.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1920395 and 1920404.

It is not an unprimeable number, because it can be changed into a prime (1920427) 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 7 ways as a sum of consecutive naturals, for example, 12154 + ... + 12310.

It is an arithmetic number, because the mean of its divisors is an integer number (124425).

21920424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990800).

1920424 is an abundant number, since it is smaller than the sum of its proper divisors (2061176).

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

1920424 is a wasteful number, since it uses less digits than its factorization.

1920424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1920424 is about 1385.7936354306. The cubic root of 1920424 is about 124.2984486383.

The spelling of 1920424 in words is "one million, nine hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 139 157 278 314 556 628 1112 1256 1529 1727 3058 3454 6116 6908 12232 13816 21823 43646 87292 174584 240053 480106 960212 1920424