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140728536 = 233313232179
BaseRepresentation
bin10000110001101…
…01100011011000
3100210210202021000
420120311203120
5242011303121
621544145000
73326113164
oct1030654330
9323722230
10140728536
117248a483
123b168160
1323203b30
1414993ca4
15c54c526
hex86358d8

140728536 has 128 divisors (see below), whose sum is σ = 439488000. Its totient is φ = 41399424.

The previous prime is 140728531. The next prime is 140728537. The reversal of 140728536 is 635827041.

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 140728536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140728531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63495 + ... + 65673.

It is an arithmetic number, because the mean of its divisors is an integer number (3433500).

Almost surely, 2140728536 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 140728536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219744000).

140728536 is an abundant number, since it is smaller than the sum of its proper divisors (298759464).

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

140728536 is a wasteful number, since it uses less digits than its factorization.

140728536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 140728536 is about 11862.9058834672. The cubic root of 140728536 is about 520.1485473044.

The spelling of 140728536 in words is "one hundred forty million, seven hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 828 897 936 1196 1242 1404 1656 1794 2179 2392 2484 2691 2808 3588 4358 4968 5382 6537 7176 8073 8716 10764 13074 16146 17432 19611 21528 26148 28327 32292 39222 50117 52296 56654 58833 64584 78444 84981 100234 113308 117666 150351 156888 169962 200468 226616 235332 254943 300702 339924 400936 451053 470664 509886 601404 651521 679848 764829 902106 1019772 1202808 1303042 1353159 1529658 1804212 1954563 2039544 2606084 2706318 3059316 3608424 3909126 5212168 5412636 5863689 6118632 7818252 10825272 11727378 15636504 17591067 23454756 35182134 46909512 70364268 140728536