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2013940 = 225101997
BaseRepresentation
bin111101011101011110100
310210022121101
413223223310
51003421230
6111055444
723055355
oct7535364
93708541
102013940
111156115
12811584
135568a6
143a5d2c
1529baca
hex1ebaf4

2013940 has 24 divisors (see below), whose sum is σ = 4275432. Its totient is φ = 796800.

The previous prime is 2013937. The next prime is 2013941. The reversal of 2013940 is 493102.

It can be written as a sum of positive squares in 4 ways, for example, as 1069156 + 944784 = 1034^2 + 972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 2518.

It is an arithmetic number, because the mean of its divisors is an integer number (178143).

22013940 is an apocalyptic number.

2013940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013940 is an abundant number, since it is smaller than the sum of its proper divisors (2261492).

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

2013940 is a wasteful number, since it uses less digits than its factorization.

2013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2013940 is about 1419.1335384663. The cubic root of 2013940 is about 126.2841491780.

The spelling of 2013940 in words is "two million, thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 997 1010 1994 2020 3988 4985 9970 19940 100697 201394 402788 503485 1006970 2013940