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140193408 = 2733111777
BaseRepresentation
bin10000101101100…
…10111010000000
3100202210120012110
420112302322000
5241342142113
621524455320
73321424065
oct1026627200
9322716173
10140193408
1172154423
123ab4a540
13230773a4
1414894c6c
15c493bc3
hex85b2e80

140193408 has 64 divisors (see below), whose sum is σ = 384433920. Its totient is φ = 45219840.

The previous prime is 140193397. The next prime is 140193409. The reversal of 140193408 is 804391041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (140193409) 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 7 ways as a sum of consecutive naturals, for example, 6016 + ... + 17792.

It is an arithmetic number, because the mean of its divisors is an integer number (6006780).

Almost surely, 2140193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192216960).

140193408 is an abundant number, since it is smaller than the sum of its proper divisors (244240512).

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

140193408 is a wasteful number, since it uses less digits than its factorization.

140193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 140193408 is about 11840.3297251386. The cubic root of 140193408 is about 519.4884120404.

The spelling of 140193408 in words is "one hundred forty million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11777 11904 23554 35331 47108 70662 94216 141324 188432 282648 365087 376864 565296 730174 753728 1095261 1130592 1460348 1507456 2190522 2261184 2920696 4381044 4522368 5841392 8762088 11682784 17524176 23365568 35048352 46731136 70096704 140193408