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140817536 = 2710910093
BaseRepresentation
bin10000110010010…
…11010010000000
3100210222021100022
420121023102000
5242022130121
621550113012
73326633516
oct1031132200
9323867308
10140817536
1172540332
123b1ab768
13232354b2
14149b84b6
15c568aab
hex864b480

140817536 has 32 divisors (see below), whose sum is σ = 283136700. Its totient is φ = 69755904.

The previous prime is 140817529. The next prime is 140817541. The reversal of 140817536 is 635718041.

It can be written as a sum of positive squares in 2 ways, for example, as 139240000 + 1577536 = 11800^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1408175362 = 39659156890222592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140817496 and 140817505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8906 + ... + 18998.

Almost surely, 2140817536 is an apocalyptic number.

140817536 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 140817536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141568350).

140817536 is an abundant number, since it is smaller than the sum of its proper divisors (142319164).

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

140817536 is a wasteful number, since it uses less digits than its factorization.

140817536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 140817536 is about 11866.6564793964. The cubic root of 140817536 is about 520.2581755444.

The spelling of 140817536 in words is "one hundred forty million, eight hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 10093 13952 20186 40372 80744 161488 322976 645952 1100137 1291904 2200274 4400548 8801096 17602192 35204384 70408768 140817536