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1053310140 = 22325171073217
BaseRepresentation
bin111110110010000…
…011110010111100
32201101222200212200
4332302003302330
54124121411030
6252304031500
735046663021
oct7662036274
92641880780
101053310140
114a0625553
12254902590
1313a2b414c
149dc67548
1562711d60
hex3ec83cbc

1053310140 has 144 divisors (see below), whose sum is σ = 3415662432. Its totient is φ = 261808128.

The previous prime is 1053310103. The next prime is 1053310151. The reversal of 1053310140 is 410133501.

It is a super-2 number, since 2×10533101402 = 2218924502053639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325812 + ... + 329028.

It is an arithmetic number, because the mean of its divisors is an integer number (23719878).

Almost surely, 21053310140 is an apocalyptic number.

1053310140 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 1053310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707831216).

1053310140 is an abundant number, since it is smaller than the sum of its proper divisors (2362352292).

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

1053310140 is a wasteful number, since it uses less digits than its factorization.

1053310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1053310140 is about 32454.7398695476. The cubic root of 1053310140 is about 1017.4633044215.

Adding to 1053310140 its reverse (410133501), we get a palindrome (1463443641).

The spelling of 1053310140 in words is "one billion, fifty-three million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 107 153 170 180 204 214 255 306 321 340 428 510 535 612 642 765 963 1020 1070 1284 1530 1605 1819 1926 2140 3060 3210 3217 3638 3852 4815 5457 6420 6434 7276 9095 9630 9651 10914 12868 16085 16371 18190 19260 19302 21828 27285 28953 32170 32742 36380 38604 48255 54570 54689 57906 64340 65484 81855 96510 109140 109378 115812 144765 163710 164067 193020 218756 273445 289530 327420 328134 344219 492201 546890 579060 656268 688438 820335 984402 1032657 1093780 1376876 1640670 1721095 1968804 2065314 2461005 3097971 3281340 3442190 4130628 4922010 5163285 5851723 6195942 6884380 9844020 10326570 11703446 12391884 15489855 17555169 20653140 23406892 29258615 30979710 35110338 52665507 58517230 61959420 70220676 87775845 105331014 117034460 175551690 210662028 263327535 351103380 526655070 1053310140