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1920438 = 2321329283
BaseRepresentation
bin111010100110110110110
310121120100100
413110312312
5442423223
6105054530
722215642
oct7246666
93546310
101920438
1110a1943
12787446
13523170
1437dc22
1527e043
hex1d4db6

1920438 has 48 divisors (see below), whose sum is σ = 4651920. Its totient is φ = 568512.

The previous prime is 1920437. The next prime is 1920469. The reversal of 1920438 is 8340291.

It is a super-2 number, since 2×19204382 = 7376164223688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645 + ... + 6927.

It is an arithmetic number, because the mean of its divisors is an integer number (96915).

21920438 is an apocalyptic number.

1920438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325960).

1920438 is an abundant number, since it is smaller than the sum of its proper divisors (2731482).

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

1920438 is a wasteful number, since it uses less digits than its factorization.

1920438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

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

The square root of 1920438 is about 1385.7986866786. The cubic root of 1920438 is about 124.2987506851.

The spelling of 1920438 in words is "one million, nine hundred twenty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 283 377 522 566 754 849 1131 1698 2262 2547 3393 3679 5094 6786 7358 8207 11037 16414 22074 24621 33111 49242 66222 73863 106691 147726 213382 320073 640146 960219 1920438