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140309936 = 241323139211
BaseRepresentation
bin10000101110011…
…11010110110000
3100210000111001022
420113033112300
5241404404221
621531155012
73322420604
oct1027172660
9323014038
10140309936
1172223a28
123aba5a68
13230b8440
14148c5504
15c4b84ab
hex85cf5b0

140309936 has 80 divisors (see below), whose sum is σ = 309146880. Its totient is φ = 61205760.

The previous prime is 140309929. The next prime is 140309951. The reversal of 140309936 is 639903041.

140309936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140309896 and 140309905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664871 + ... + 665081.

It is an arithmetic number, because the mean of its divisors is an integer number (3864336).

Almost surely, 2140309936 is an apocalyptic number.

140309936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140309936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154573440).

140309936 is an abundant number, since it is smaller than the sum of its proper divisors (168836944).

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

140309936 is a wasteful number, since it uses less digits than its factorization.

140309936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 140309936 is about 11845.2495119352. The cubic root of 140309936 is about 519.6323041634.

The spelling of 140309936 in words is "one hundred forty million, three hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 139 184 208 211 278 299 368 422 556 598 844 1112 1196 1688 1807 2224 2392 2743 3197 3376 3614 4784 4853 5486 6394 7228 9706 10972 12788 14456 19412 21944 25576 28912 29329 38824 41561 43888 51152 58658 63089 77648 83122 117316 126178 166244 234632 252356 332488 381277 469264 504712 664976 674567 762554 1009424 1349134 1525108 2698268 3050216 5396536 6100432 8769371 10793072 17538742 35077484 70154968 140309936