Search a number
-
+
1381054320 = 243352327799
BaseRepresentation
bin101001001010001…
…0011011101110000
310120020200211101000
41102110103131300
510312022214240
6345012442000
746136524302
oct12224233560
93506624330
101381054320
11649629608
12326619300
13190177209
14d15bd972
15813a1430
hex52513770

1381054320 has 160 divisors (see below), whose sum is σ = 4963968000. Its totient is φ = 352256256.

The previous prime is 1381054277. The next prime is 1381054331. The reversal of 1381054320 is 234501831.

It is a happy number.

It is a super-2 number, since 2×13810543202 = 3814622069581324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 35781 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (31024800).

Almost surely, 21381054320 is an apocalyptic number.

1381054320 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 1381054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481984000).

1381054320 is an abundant number, since it is smaller than the sum of its proper divisors (3582913680).

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

1381054320 is a wasteful number, since it uses less digits than its factorization.

1381054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27844 (or 27832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1381054320 is about 37162.5392028048. The cubic root of 1381054320 is about 1113.6197389857.

The spelling of 1381054320 in words is "one billion, three hundred eighty-one million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 27799 49680 55598 83397 111196 138995 166794 222392 250191 277990 333588 416985 444784 500382 555980 639377 667176 750573 833970 1000764 1111960 1250955 1278754 1334352 1501146 1667940 1918131 2001528 2223920 2501910 2557508 3002292 3196885 3335880 3752865 3836262 4003056 5003820 5115016 5754393 6004584 6393770 6671760 7505730 7672524 9590655 10007640 10230032 11508786 12009168 12787540 15011460 15345048 17263179 19181310 20015280 23017572 25575080 28771965 30022920 30690096 34526358 38362620 46035144 51150160 57543930 60045840 69052716 76725240 86315895 92070288 115087860 138105432 153450480 172631790 230175720 276210864 345263580 460351440 690527160 1381054320