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2543140032 = 263113251467
BaseRepresentation
bin1001011110010101…
…0011110011000000
320120020100220021120
42113211103303000
520202020440112
61100204152240
7120010222266
oct22745236300
96506326246
102543140032
111095599824
125ab838680
13316b552b4
141a1a80436
15ed3ece8c
hex97953cc0

2543140032 has 112 divisors (see below), whose sum is σ = 6829909632. Its totient is φ = 835072000.

The previous prime is 2543140031. The next prime is 2543140043. The reversal of 2543140032 is 2300413452.

It is a super-2 number, since 2×25431400322 = 12935122444721922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2543139984 and 2543140011.

It is not an unprimeable number, because it can be changed into a prime (2543140031) 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, 5445463 + ... + 5445929.

It is an arithmetic number, because the mean of its divisors is an integer number (60981336).

Almost surely, 22543140032 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 2543140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

2543140032 is an abundant number, since it is smaller than the sum of its proper divisors (4286769600).

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

2543140032 is a wasteful number, since it uses less digits than its factorization.

2543140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2543140032 is about 50429.5551437845. Note that the first 3 decimals coincide. The cubic root of 2543140032 is about 1364.9710007391.

Adding to 2543140032 its reverse (2300413452), we get a palindrome (4843553484).

The spelling of 2543140032 in words is "two billion, five hundred forty-three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 251 339 452 467 502 678 753 904 934 1004 1356 1401 1506 1808 1868 2008 2712 2802 3012 3616 3736 4016 5424 5604 6024 7232 7472 8032 10848 11208 12048 14944 16064 21696 22416 24096 28363 29888 44832 48192 52771 56726 85089 89664 105542 113452 117217 158313 170178 211084 226904 234434 316626 340356 351651 422168 453808 468868 633252 680712 703302 844336 907616 937736 1266504 1361424 1406604 1688672 1815232 1875472 2533008 2722848 2813208 3377344 3750944 5066016 5445696 5626416 7501888 10132032 11252832 13245521 22505664 26491042 39736563 52982084 79473126 105964168 158946252 211928336 317892504 423856672 635785008 847713344 1271570016 2543140032