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1938640 = 245112203
BaseRepresentation
bin111011001010011010000
310122111022111
413121103100
5444014030
6105315104
722323004
oct7312320
93574274
101938640
111104590
12795a94
1352b532
14386704
1528462a
hex1d94d0

1938640 has 40 divisors (see below), whose sum is σ = 4919328. Its totient is φ = 704640.

The previous prime is 1938637. The next prime is 1938659. The reversal of 1938640 is 468391.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 1981.

21938640 is an apocalyptic number.

1938640 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 1938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459664).

1938640 is an abundant number, since it is smaller than the sum of its proper divisors (2980688).

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

1938640 is a wasteful number, since it uses less digits than its factorization.

1938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1938640 is about 1392.3505305777. The cubic root of 1938640 is about 124.6902195896.

The spelling of 1938640 in words is "one million, nine hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2203 4406 8812 11015 17624 22030 24233 35248 44060 48466 88120 96932 121165 176240 193864 242330 387728 484660 969320 1938640