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2920006656 = 21032745263
BaseRepresentation
bin1010111000001011…
…1100010000000000
321112111111201002200
42232002330100000
521440010203111
61201425513200
7132234434640
oct25602742000
97474451080
102920006656
1112692a4246
12695aa2800
13376c571b8
141d9b42520
15121542256
hexae0bc400

2920006656 has 132 divisors (see below), whose sum is σ = 9636162432. Its totient is φ = 834269184.

The previous prime is 2920006651. The next prime is 2920006673. The reversal of 2920006656 is 6566000292.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2920006656.

It is not an unprimeable number, because it can be changed into a prime (2920006651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41881 + ... + 87143.

Almost surely, 22920006656 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 2920006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818081216).

2920006656 is an abundant number, since it is smaller than the sum of its proper divisors (6716155776).

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

2920006656 is a wasteful number, since it uses less digits than its factorization.

2920006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45296 (or 45275 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2920006656 is about 54037.0859317932. The cubic root of 2920006656 is about 1429.3149857797.

The spelling of 2920006656 in words is "two billion, nine hundred twenty million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 45263 64512 90526 135789 181052 271578 316841 362104 407367 543156 633682 724208 814734 950523 1086312 1267364 1448416 1629468 1901046 2172624 2534728 2851569 2896832 3258936 3802092 4345248 5069456 5703138 5793664 6517872 7604184 8690496 10138912 11406276 11587328 13035744 15208368 17380992 20277824 22812552 23174656 26071488 30416736 34761984 40555648 45625104 46349312 52142976 60833472 69523968 81111296 91250208 104285952 121666944 139047936 162222592 182500416 208571904 243333888 324445184 365000832 417143808 486667776 730001664 973335552 1460003328 2920006656