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140204560 = 24529223271
BaseRepresentation
bin10000101101101…
…01101000010000
3100202211010111111
420112311220100
5241343021220
621525023104
73321501436
oct1026655020
9322733444
10140204560
1172161841
123ab54a94
132307c4a2
1414898d56
15c49715a
hex85b5a10

140204560 has 80 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 53706240.

The previous prime is 140204509. The next prime is 140204569. The reversal of 140204560 is 65402041.

140204560 = T16 + T17 + ... + T943.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (140204569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517225 + ... + 517495.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2140204560 is an apocalyptic number.

140204560 is a gapful number since it is divisible by the number (10) 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 140204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

140204560 is an abundant number, since it is smaller than the sum of its proper divisors (199773680).

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

140204560 is a wasteful number, since it uses less digits than its factorization.

140204560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 140204560 is about 11840.8006486048. The cubic root of 140204560 is about 519.5021863000.

The spelling of 140204560 in words is "one hundred forty million, two hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 223 232 271 290 446 464 542 580 892 1084 1115 1160 1355 1784 2168 2230 2320 2710 3568 4336 4460 5420 6467 7859 8920 10840 12934 15718 17840 21680 25868 31436 32335 39295 51736 60433 62872 64670 78590 103472 120866 125744 129340 157180 241732 258680 302165 314360 483464 517360 604330 628720 966928 1208660 1752557 2417320 3505114 4834640 7010228 8762785 14020456 17525570 28040912 35051140 70102280 140204560