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2970284928 = 273133171877
BaseRepresentation
bin1011000100001010…
…1111001110000000
321200000010002220220
42301002233032000
522040343104203
61210423303040
7133415001552
oct26102571600
97600102826
102970284928
111294715036
126aa8aaa80
133844ac160
142026ad4d2
15125b74653
hexb10af380

2970284928 has 128 divisors (see below), whose sum is σ = 8528073120. Its totient is φ = 910565376.

The previous prime is 2970284923. The next prime is 2970284957. The reversal of 2970284928 is 8294820792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970284923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581526 + ... + 1583402.

Almost surely, 22970284928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264036560).

2970284928 is an abundant number, since it is smaller than the sum of its proper divisors (5557788192).

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

2970284928 is a wasteful number, since it uses less digits than its factorization.

2970284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2970284928 is about 54500.3204394249. The cubic root of 2970284928 is about 1437.4719223048.

The spelling of 2970284928 in words is "two billion, nine hundred seventy million, two hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 317 384 416 624 634 832 951 1248 1268 1664 1877 1902 2496 2536 3754 3804 4121 4992 5072 5631 7508 7608 8242 10144 11262 12363 15016 15216 16484 20288 22524 24401 24726 30032 30432 32968 40576 45048 48802 49452 60064 60864 65936 73203 90096 97604 98904 120128 121728 131872 146406 180192 195208 197808 240256 263744 292812 360384 390416 395616 527488 585624 595009 720768 780832 791232 1171248 1190018 1561664 1582464 1785027 2342496 2380036 3123328 3570054 4684992 4760072 7140108 7735117 9369984 9520144 14280216 15470234 19040288 23205351 28560432 30940468 38080576 46410702 57120864 61880936 76161152 92821404 114241728 123761872 185642808 228483456 247523744 371285616 495047488 742571232 990094976 1485142464 2970284928