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140576 = 2523191
BaseRepresentation
bin100010010100100000
321010211112
4202110200
513444301
63002452
71123562
oct422440
9233745
10140576
1196687
1269428
134bca7
1439332
152b9bb
hex22520

140576 has 24 divisors (see below), whose sum is σ = 290304. Its totient is φ = 66880.

The previous prime is 140557. The next prime is 140587. The reversal of 140576 is 675041.

It is a super-2 number, since 2×1405762 = 39523223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 140576.

It is an unprimeable number.

140576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2140576 is an apocalyptic number.

140576 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 140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

140576 is an abundant number, since it is smaller than the sum of its proper divisors (149728).

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

140576 is a wasteful number, since it uses less digits than its factorization.

140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 140576 is about 374.9346609744. The cubic root of 140576 is about 51.9960549275.

The spelling of 140576 in words is "one hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 191 368 382 736 764 1528 3056 4393 6112 8786 17572 35144 70288 140576