Search a number
-
+
1054114320 = 24357627449
BaseRepresentation
bin111110110101001…
…000001000010000
32201110111120000010
4332311020020100
54124323124240
6252333154520
735056552410
oct7665101020
92643446003
101054114320
114a1024766
1225502ba40
1313a5061ac
149ddd6640
1562820280
hex3ed48210

1054114320 has 80 divisors (see below), whose sum is σ = 3734582400. Its totient is φ = 240940032.

The previous prime is 1054114307. The next prime is 1054114331. The reversal of 1054114320 is 234114501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10541143202 = 2222313999258124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312045 + ... + 315404.

It is an arithmetic number, because the mean of its divisors is an integer number (46682280).

Almost surely, 21054114320 is an apocalyptic number.

1054114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054114320 is an abundant number, since it is smaller than the sum of its proper divisors (2680468080).

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

1054114320 is a wasteful number, since it uses less digits than its factorization.

1054114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627472 (or 627466 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1054114320 is about 32467.1267592314. The cubic root of 1054114320 is about 1017.7221757850.

Adding to 1054114320 its reverse (234114501), we get a palindrome (1288228821).

The spelling of 1054114320 in words is "one billion, fifty-four million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 627449 1254898 1882347 2509796 3137245 3764694 4392143 5019592 6274490 7529388 8784286 9411735 10039184 12548980 13176429 15058776 17568572 18823470 21960715 25097960 26352858 30117552 35137144 37646940 43921430 50195920 52705716 65882145 70274288 75293880 87842860 105411432 131764290 150587760 175685720 210822864 263528580 351371440 527057160 1054114320