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1053640 = 23575371
BaseRepresentation
bin100000001001111001000
31222112022201
410001033020
5232204030
634325544
711645560
oct4011710
91875281
101053640
1165a685
124298b4
132ab773
141d5da0
1515c2ca
hex1013c8

1053640 has 64 divisors (see below), whose sum is σ = 2799360. Its totient is φ = 349440.

The previous prime is 1053617. The next prime is 1053691. The reversal of 1053640 is 463501.

It is a super-2 number, since 2×10536402 = 2220314499200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14805 + ... + 14875.

It is an arithmetic number, because the mean of its divisors is an integer number (43740).

21053640 is an apocalyptic number.

1053640 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 1053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399680).

1053640 is an abundant number, since it is smaller than the sum of its proper divisors (1745720).

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

1053640 is a wasteful number, since it uses less digits than its factorization.

1053640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1053640 is about 1026.4696780714. The cubic root of 1053640 is about 101.7569504677.

The spelling of 1053640 in words is "one million, fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 71 106 140 142 212 265 280 284 355 371 424 497 530 568 710 742 994 1060 1420 1484 1855 1988 2120 2485 2840 2968 3710 3763 3976 4970 7420 7526 9940 14840 15052 18815 19880 26341 30104 37630 52682 75260 105364 131705 150520 210728 263410 526820 1053640