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140321664 = 2732717401
BaseRepresentation
bin10000101110100…
…10001110000000
3100210001002010200
420113102032000
5241410243124
621531325200
73322500030
oct1027221600
9323032120
10140321664
117223181a
123abb0800
13230c0892
14148c98c0
15c4bbbc9
hex85d2380

140321664 has 96 divisors (see below), whose sum is σ = 461501040. Its totient is φ = 40089600.

The previous prime is 140321663. The next prime is 140321677. The reversal of 140321664 is 466123041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140321663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 16764.

Almost surely, 2140321664 is an apocalyptic number.

140321664 is a gapful number since it is divisible by the number (14) 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 140321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230750520).

140321664 is an abundant number, since it is smaller than the sum of its proper divisors (321179376).

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

140321664 is a wasteful number, since it uses less digits than its factorization.

140321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17428 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 140321664 is about 11845.7445523699. The cubic root of 140321664 is about 519.6467818216.

The spelling of 140321664 in words is "one hundred forty million, three hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 17401 34802 52203 69604 104406 121807 139208 156609 208812 243614 278416 313218 365421 417624 487228 556832 626436 730842 835248 974456 1096263 1113664 1252872 1461684 1670496 1948912 2192526 2227328 2505744 2923368 3340992 3897824 4385052 5011488 5846736 6681984 7795648 8770104 10022976 11693472 15591296 17540208 20045952 23386944 35080416 46773888 70160832 140321664