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2428135320 = 2335131977901
BaseRepresentation
bin1001000010111010…
…0110011110011000
320021012222001110210
42100232212132120
514433100312240
61040535211120
7114112544502
oct22056463630
96235861423
102428135320
11103668a006
12579216aa0
132c9089c80
141906a4d72
15e3282780
hex90ba6798

2428135320 has 128 divisors (see below), whose sum is σ = 7885563840. Its totient is φ = 594585600.

The previous prime is 2428135273. The next prime is 2428135337. The reversal of 2428135320 is 235318242.

It is a super-2 number, since 2×24281353202 = 11791682264463004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 303370 + ... + 311270.

Almost surely, 22428135320 is an apocalyptic number.

2428135320 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 2428135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942781920).

2428135320 is an abundant number, since it is smaller than the sum of its proper divisors (5457428520).

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

2428135320 is a wasteful number, since it uses less digits than its factorization.

2428135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2428135320 is about 49276.1130772304. The cubic root of 2428135320 is about 1344.0774517795.

The spelling of 2428135320 in words is "two billion, four hundred twenty-eight million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 197 260 312 390 394 520 591 780 788 985 1182 1560 1576 1970 2364 2561 2955 3940 4728 5122 5910 7683 7880 7901 10244 11820 12805 15366 15802 20488 23640 23703 25610 30732 31604 38415 39505 47406 51220 61464 63208 76830 79010 94812 102440 102713 118515 153660 158020 189624 205426 237030 307320 308139 316040 410852 474060 513565 616278 821704 948120 1027130 1232556 1540695 1556497 2054260 2465112 3081390 3112994 4108520 4669491 6162780 6225988 7782485 9338982 12325560 12451976 15564970 18677964 20234461 23347455 31129940 37355928 40468922 46694910 60703383 62259880 80937844 93389820 101172305 121406766 161875688 186779640 202344610 242813532 303516915 404689220 485627064 607033830 809378440 1214067660 2428135320