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140193152 = 2711175857
BaseRepresentation
bin10000101101100…
…10110110000000
3100202210112211222
420112302312000
5241342140102
621524454212
73321423251
oct1026626600
9322715758
10140193152
1172154210
123ab4a368
1323077238
1414894b28
15c493aa2
hex85b2d80

140193152 has 64 divisors (see below), whose sum is σ = 322658640. Its totient is φ = 59965440.

The previous prime is 140193149. The next prime is 140193161. The reversal of 140193152 is 251391041.

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

It is a congruent number.

It is an unprimeable number.

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, 21008 + ... + 26864.

Almost surely, 2140193152 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 140193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161329320).

140193152 is an abundant number, since it is smaller than the sum of its proper divisors (182465488).

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

140193152 is a wasteful number, since it uses less digits than its factorization.

140193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 140193152 is about 11840.3189146239. The cubic root of 140193152 is about 519.4880958365.

It can be divided in two parts, 14019 and 3152, that added together give a palindrome (17171).

The spelling of 140193152 in words is "one hundred forty million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5857 5984 11714 11968 23428 23936 46856 64427 93712 99569 128854 187424 199138 257708 374848 398276 515416 749696 796552 1030832 1095259 1593104 2061664 2190518 3186208 4123328 4381036 6372416 8246656 8762072 12744832 17524144 35048288 70096576 140193152