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142386640 = 24511239677
BaseRepresentation
bin10000111110010…
…10010111010000
3100220220222202021
420133022113100
5242422333030
622043501224
73346160254
oct1037122720
9326828667
10142386640
1173412210
123b827814
1323664766
1414ca6264
15c77897a
hex87ca5d0

142386640 has 80 divisors (see below), whose sum is σ = 363191040. Its totient is φ = 51484160.

The previous prime is 142386637. The next prime is 142386653. The reversal of 142386640 is 46683241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142386596 and 142386605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209982 + ... + 210658.

It is an arithmetic number, because the mean of its divisors is an integer number (4539888).

Almost surely, 2142386640 is an apocalyptic number.

142386640 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 142386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181595520).

142386640 is an abundant number, since it is smaller than the sum of its proper divisors (220804400).

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

142386640 is a wasteful number, since it uses less digits than its factorization.

142386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 142386640 is about 11932.5873137388. The cubic root of 142386640 is about 522.1834227667.

The spelling of 142386640 in words is "one hundred forty-two million, three hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 677 880 956 1195 1354 1912 2390 2629 2708 3385 3824 4780 5258 5416 6770 7447 9560 10516 10832 13145 13540 14894 19120 21032 26290 27080 29788 37235 42064 52580 54160 59576 74470 105160 119152 148940 161803 210320 297880 323606 595760 647212 809015 1294424 1618030 1779833 2588848 3236060 3559666 6472120 7119332 8899165 12944240 14238664 17798330 28477328 35596660 71193320 142386640