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1053368316 = 22327111329231
BaseRepresentation
bin111110110010010…
…001111111111100
32201102002122200100
4332302101333330
54124130241231
6252305201100
735050324440
oct7662217774
92642078610
101053368316
114a0665230
12254930190
1313a304780
149dc80820
15627241e6
hex3ec91ffc

1053368316 has 144 divisors (see below), whose sum is σ = 3575190528. Its totient is φ = 252547200.

The previous prime is 1053368287. The next prime is 1053368317. The reversal of 1053368316 is 6138633501.

It is a happy number.

1053368316 is a `hidden beast` number, since 1 + 0 + 5 + 336 + 8 + 316 = 666.

It is a super-2 number, since 2×10533683162 = 2219169618305351712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053368317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21421 + ... + 50651.

It is an arithmetic number, because the mean of its divisors is an integer number (24827712).

Almost surely, 21053368316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053368316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787595264).

1053368316 is an abundant number, since it is smaller than the sum of its proper divisors (2521822212).

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

1053368316 is a wasteful number, since it uses less digits than its factorization.

1053368316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272 (or 29267 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1053368316 is about 32455.6361207110. The cubic root of 1053368316 is about 1017.4820361173.

The spelling of 1053368316 in words is "one billion, fifty-three million, three hundred sixty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 29231 36036 58462 87693 116924 175386 204617 263079 321541 350772 380003 409234 526158 613851 643082 760006 818468 964623 1052316 1140009 1227702 1286164 1520012 1841553 1929246 2250787 2280018 2455404 2660021 2893869 3420027 3683106 3858492 4180033 4501574 4560036 5320042 5787738 6752361 6840054 7366212 7980063 8360066 9003148 10640084 11575476 12540099 13504722 13680108 15960126 16720132 20257083 23940189 25080198 27009444 29260231 31920252 37620297 40514166 47880378 50160396 58520462 75240594 81028332 87780693 95760756 117040924 150481188 175561386 263342079 351122772 526684158 1053368316