Search a number
-
+
1053740 = 225194759
BaseRepresentation
bin100000001010000101100
31222112110102
410001100230
5232204430
634330232
711646062
oct4012054
91875412
101053740
1165a766
12429978
132ab81c
141d6032
1515c345
hex10142c

1053740 has 48 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 384192.

The previous prime is 1053739. The next prime is 1053749. The reversal of 1053740 is 473501.

It is a happy number.

It is a super-2 number, since 2×10537402 = 2220735975200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1053749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17831 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

21053740 is an apocalyptic number.

1053740 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 1053740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

1053740 is an abundant number, since it is smaller than the sum of its proper divisors (1365460).

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

1053740 is a wasteful number, since it uses less digits than its factorization.

1053740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 1053740 is about 1026.5183875606. The cubic root of 1053740 is about 101.7601695852.

The spelling of 1053740 in words is "one million, fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 59 76 94 95 118 188 190 235 236 295 380 470 590 893 940 1121 1180 1786 2242 2773 3572 4465 4484 5546 5605 8930 11092 11210 13865 17860 22420 27730 52687 55460 105374 210748 263435 526870 1053740