Search a number
-
+
2053900 = 2252192347
BaseRepresentation
bin111110101011100001100
310212100102101
413311130030
51011211100
6112004444
723313022
oct7653414
93770371
102053900
111183142
12830724
1356bb34
143b6712
152a886a
hex1f570c

2053900 has 72 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 728640.

The previous prime is 2053897. The next prime is 2053903. The reversal of 2053900 is 93502.

It is an interprime number because it is at equal distance from previous prime (2053897) and next prime (2053903).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43677 + ... + 43723.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

22053900 is an apocalyptic number.

2053900 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 2053900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

2053900 is an abundant number, since it is smaller than the sum of its proper divisors (2945780).

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

2053900 is a wasteful number, since it uses less digits than its factorization.

2053900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 2053900 is about 1433.1433982683. The cubic root of 2053900 is about 127.1139160175.

The spelling of 2053900 in words is "two million, fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 47 50 76 92 94 95 100 115 188 190 230 235 380 437 460 470 475 575 874 893 940 950 1081 1150 1175 1748 1786 1900 2162 2185 2300 2350 3572 4324 4370 4465 4700 5405 8740 8930 10810 10925 17860 20539 21620 21850 22325 27025 41078 43700 44650 54050 82156 89300 102695 108100 205390 410780 513475 1026950 2053900