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2053940 = 225717863
BaseRepresentation
bin111110101011100110100
310212100110212
413311130310
51011211230
6112004552
723313110
oct7653464
93770425
102053940
111183179
12830758
1356bb65
143b6740
152a8895
hex1f5734

2053940 has 48 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 662016.

The previous prime is 2053937. The next prime is 2053943. The reversal of 2053940 is 493502.

2053940 = T211 + T212 + ... + T278.

2053940 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (2053937) and next prime (2053943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053943) 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 15 ways as a sum of consecutive naturals, for example, 1949 + ... + 2811.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

22053940 is an apocalyptic number.

2053940 is a gapful number since it is divisible by the number (20) 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 2053940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).

2053940 is an abundant number, since it is smaller than the sum of its proper divisors (3171532).

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

2053940 is a wasteful number, since it uses less digits than its factorization.

2053940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2053940 is about 1433.1573535380. The cubic root of 2053940 is about 127.1147411994.

The spelling of 2053940 in words is "two million, fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 863 1190 1726 2380 3452 4315 6041 8630 12082 14671 17260 24164 29342 30205 58684 60410 73355 102697 120820 146710 205394 293420 410788 513485 1026970 2053940