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1938104 = 23753653
BaseRepresentation
bin111011001001010111000
310122110120122
413121022320
5444004404
6105312412
722321310
oct7311270
93573518
101938104
111104143
12795708
1352b20c
14386440
152843be
hex1d92b8

1938104 has 32 divisors (see below), whose sum is σ = 4237920. Its totient is φ = 813696.

The previous prime is 1938103. The next prime is 1938113. The reversal of 1938104 is 4018391.

It is a super-2 number, since 2×19381042 = 7512494229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938103) 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, 2642 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (132435).

21938104 is an apocalyptic number.

1938104 is a gapful number since it is divisible by the number (14) 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 1938104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118960).

1938104 is an abundant number, since it is smaller than the sum of its proper divisors (2299816).

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

1938104 is a wasteful number, since it uses less digits than its factorization.

1938104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1938104 is about 1392.1580370059. The cubic root of 1938104 is about 124.6787269766.

The spelling of 1938104 in words is "one million, nine hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 653 742 1306 1484 2612 2968 4571 5224 9142 18284 34609 36568 69218 138436 242263 276872 484526 969052 1938104