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140112640 = 2851747137
BaseRepresentation
bin10000101100111…
…11001100000000
3100202122110102001
420112133030000
5241332101030
621523033344
73320636443
oct1026371400
9322573361
10140112640
11720a9778
123ab0b854
13230496b5
141487365a
15c479cca
hex859f300

140112640 has 144 divisors (see below), whose sum is σ = 365565312. Its totient is φ = 51249152.

The previous prime is 140112617. The next prime is 140112649. The reversal of 140112640 is 46211041.

It is not an unprimeable number, because it can be changed into a prime (140112649) 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, 1022652 + ... + 1022788.

It is an arithmetic number, because the mean of its divisors is an integer number (2538648).

Almost surely, 2140112640 is an apocalyptic number.

140112640 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 140112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182782656).

140112640 is an abundant number, since it is smaller than the sum of its proper divisors (225452672).

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

140112640 is a wasteful number, since it uses less digits than its factorization.

140112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 140112640 is about 11836.9185179252. The cubic root of 140112640 is about 519.3886306008.

Adding to 140112640 its reverse (46211041), we get a palindrome (186323681).

It can be divided in two parts, 1401 and 12640, that added together give a palindrome (14041).

The spelling of 140112640 in words is "one hundred forty million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 64 68 80 85 94 128 136 137 160 170 188 235 256 272 274 320 340 376 470 544 548 640 680 685 752 799 940 1088 1096 1280 1360 1370 1504 1598 1880 2176 2192 2329 2720 2740 3008 3196 3760 3995 4352 4384 4658 5440 5480 6016 6392 6439 7520 7990 8768 9316 10880 10960 11645 12032 12784 12878 15040 15980 17536 18632 21760 21920 23290 25568 25756 30080 31960 32195 35072 37264 43840 46580 51136 51512 60160 63920 64390 74528 87680 93160 102272 103024 109463 127840 128780 149056 175360 186320 204544 206048 218926 255680 257560 298112 372640 412096 437852 511360 515120 547315 596224 745280 824192 875704 1022720 1030240 1094630 1490560 1648384 1751408 2060480 2189260 2981120 3502816 4120960 4378520 7005632 8241920 8757040 14011264 17514080 28022528 35028160 70056320 140112640