Search a number
-
+
2545283340 = 22325179197401
BaseRepresentation
bin1001011110110101…
…1111000100001100
320120101101210100100
42113231133010030
520203043031330
61100322131100
7120034360065
oct22755370414
96511353310
102545283340
111096823056
125b04b0a90
13317425a22
141a207b56c
15ed6c3060
hex97b5f10c

2545283340 has 144 divisors (see below), whose sum is σ = 7822694880. Its totient is φ = 669849600.

The previous prime is 2545283297. The next prime is 2545283347. The reversal of 2545283340 is 433825452.

2545283340 is a `hidden beast` number, since 2 + 545 + 2 + 83 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2545283295 and 2545283304.

It is not an unprimeable number, because it can be changed into a prime (2545283347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347140 + ... + 6347540.

It is an arithmetic number, because the mean of its divisors is an integer number (54324270).

Almost surely, 22545283340 is an apocalyptic number.

2545283340 is a gapful number since it is divisible by the number (20) 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 2545283340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911347440).

2545283340 is an abundant number, since it is smaller than the sum of its proper divisors (5277411540).

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

2545283340 is a wasteful number, since it uses less digits than its factorization.

2545283340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2545283340 is about 50450.8011829346. The cubic root of 2545283340 is about 1365.3543498990.

The spelling of 2545283340 in words is "two billion, five hundred forty-five million, two hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 197 358 394 401 537 591 716 788 802 895 985 1074 1182 1203 1604 1611 1773 1790 1970 2005 2148 2364 2406 2685 2955 3222 3546 3580 3609 3940 4010 4812 5370 5910 6015 6444 7092 7218 8020 8055 8865 10740 11820 12030 14436 16110 17730 18045 24060 32220 35263 35460 36090 70526 71779 72180 78997 105789 141052 143558 157994 176315 211578 215337 236991 287116 315988 317367 352630 358895 394985 423156 430674 473982 528945 634734 646011 705260 710973 717790 789970 861348 947964 1057890 1076685 1184955 1269468 1292022 1421946 1435580 1579940 1586835 2115780 2153370 2369910 2584044 2843892 3173670 3230055 3554865 4306740 4739820 6347340 6460110 7109730 12920220 14140463 14219460 28280926 42421389 56561852 70702315 84842778 127264167 141404630 169685556 212106945 254528334 282809260 424213890 509056668 636320835 848427780 1272641670 2545283340