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2840128032 = 25374789923
BaseRepresentation
bin1010100101001000…
…1110101000100000
321022221012110020010
42221102032220200
521304033044112
61145453444520
7130244455440
oct25122165040
97287173203
102840128032
1112281a6255
126731a0740
1336353a141
141cd2ac120
1511951463c
hexa948ea20

2840128032 has 96 divisors (see below), whose sum is σ = 8701765632. Its totient is φ = 794191104.

The previous prime is 2840128003. The next prime is 2840128033. The reversal of 2840128032 is 2308210482.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2840128033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13378 + ... + 76545.

It is an arithmetic number, because the mean of its divisors is an integer number (90643392).

Almost surely, 22840128032 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 2840128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350882816).

2840128032 is an abundant number, since it is smaller than the sum of its proper divisors (5861637600).

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

2840128032 is a wasteful number, since it uses less digits than its factorization.

2840128032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89990 (or 89982 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2840128032 is about 53292.8516031935. The cubic root of 2840128032 is about 1416.1610305550.

The spelling of 2840128032 in words is "two billion, eight hundred forty million, one hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 89923 179846 269769 359692 539538 629461 719384 1079076 1258922 1438768 1888383 2158152 2517844 2877536 3776766 4226381 4316304 5035688 7553532 8452762 8632608 10071376 12679143 15107064 16905524 20142752 25358286 29584667 30214128 33811048 50716572 59169334 60428256 67622096 88754001 101433144 118338668 135244192 177508002 202866288 236677336 355016004 405732576 473354672 710032008 946709344 1420064016 2840128032