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1053411312 = 2432937113181
BaseRepresentation
bin111110110010011…
…100011111110000
32201102011211122210
4332302130133300
54124133130222
6252310132120
735050564002
oct7662343760
92642154583
101053411312
114a0694568
12254951040
1313a31b205
149dc92372
1562731d0c
hex3ec9c7f0

1053411312 has 160 divisors (see below), whose sum is σ = 2932937280. Its totient is φ = 325140480.

The previous prime is 1053411299. The next prime is 1053411343. The reversal of 1053411312 is 2131143501.

It is a super-2 number, since 2×10534113122 = 2219350784499122688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5819862 + ... + 5820042.

It is an arithmetic number, because the mean of its divisors is an integer number (18330858).

Almost surely, 21053411312 is an apocalyptic number.

1053411312 is a gapful number since it is divisible by the number (12) 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 1053411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466468640).

1053411312 is an abundant number, since it is smaller than the sum of its proper divisors (1879525968).

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

1053411312 is a wasteful number, since it uses less digits than its factorization.

1053411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1053411312 is about 32456.2984950533. The cubic root of 1053411312 is about 1017.4958796646.

Adding to 1053411312 its reverse (2131143501), we get a palindrome (3184554813).

The spelling of 1053411312 in words is "one billion, fifty-three million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 113 116 148 174 181 222 226 232 296 339 348 362 444 452 464 543 592 678 696 724 888 904 1073 1086 1356 1392 1448 1776 1808 2146 2172 2712 2896 3219 3277 4181 4292 4344 5249 5424 6438 6554 6697 8362 8584 8688 9831 10498 12543 12876 13108 13394 15747 16724 17168 19662 20091 20453 20996 25086 25752 26216 26788 31494 33448 39324 40182 40906 41992 50172 51504 52432 53576 61359 62988 66896 78648 80364 81812 83984 100344 107152 121249 122718 125976 157296 160728 163624 194213 200688 242498 245436 251952 321456 327248 363747 388426 484996 490872 582639 593137 727494 756761 776852 969992 981744 1165278 1186274 1454988 1513522 1553704 1779411 1939984 2270283 2330556 2372548 2909976 3027044 3107408 3558822 4540566 4661112 4745096 5819952 6054088 7117644 9081132 9322224 9490192 12108176 14235288 18162264 21946069 28470576 36324528 43892138 65838207 87784276 131676414 175568552 263352828 351137104 526705656 1053411312