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1053894840 = 2335109197409
BaseRepresentation
bin111110110100010…
…010100010111000
32201110002101221020
4332310102202320
54124244113330
6252324342440
735054646465
oct7664224270
92643071836
101053894840
114a0994879
12254b44a20
1313a45a31b
149dd7a66c
15627ca210
hex3ed128b8

1053894840 has 128 divisors (see below), whose sum is σ = 3214728000. Its totient is φ = 276369408.

The previous prime is 1053894811. The next prime is 1053894851. The reversal of 1053894840 is 484983501.

1053894840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10538948402 = 2221388667557251200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053894792 and 1053894801.

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, 2576556 + ... + 2576964.

Almost surely, 21053894840 is an apocalyptic number.

1053894840 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 1053894840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607364000).

1053894840 is an abundant number, since it is smaller than the sum of its proper divisors (2160833160).

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

1053894840 is a wasteful number, since it uses less digits than its factorization.

1053894840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1053894840 is about 32463.7465490353. The cubic root of 1053894840 is about 1017.6515366511.

The spelling of 1053894840 in words is "one billion, fifty-three million, eight hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 197 218 327 394 409 436 545 591 654 788 818 872 985 1090 1182 1227 1308 1576 1635 1636 1970 2045 2180 2364 2454 2616 2955 3270 3272 3940 4090 4360 4728 4908 5910 6135 6540 7880 8180 9816 11820 12270 13080 16360 21473 23640 24540 42946 44581 49080 64419 80573 85892 89162 107365 128838 133743 161146 171784 178324 214730 222905 241719 257676 267486 322095 322292 356648 402865 429460 445810 483438 515352 534972 644190 644584 668715 805730 858920 891620 966876 1069944 1208595 1288380 1337430 1611460 1783240 1933752 2417190 2576760 2674860 3222920 4834380 5349720 8782457 9668760 17564914 26347371 35129828 43912285 52694742 70259656 87824570 105389484 131736855 175649140 210778968 263473710 351298280 526947420 1053894840