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142414740 = 223351320287
BaseRepresentation
bin10000111110100…
…01001110010100
3100220222102022000
420133101032110
5242424232430
622044235300
73346335216
oct1037211624
9326872260
10142414740
1173431336
123b83bb30
13236744a0
1414cb25b6
15c781e60
hex87d1394

142414740 has 96 divisors (see below), whose sum is σ = 477173760. Its totient is φ = 35054208.

The previous prime is 142414669. The next prime is 142414859. The reversal of 142414740 is 47414241.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 3124 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (4970560).

Almost surely, 2142414740 is an apocalyptic number.

142414740 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 142414740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238586880).

142414740 is an abundant number, since it is smaller than the sum of its proper divisors (334759020).

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

142414740 is a wasteful number, since it uses less digits than its factorization.

142414740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20318 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 142414740 is about 11933.7647035627. The cubic root of 142414740 is about 522.2177714692.

Adding to 142414740 its reverse (47414241), we get a palindrome (189828981).

It can be divided in two parts, 14241 and 4740, that added together give a palindrome (18981).

The spelling of 142414740 in words is "one hundred forty-two million, four hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 20287 40574 60861 81148 101435 121722 182583 202870 243444 263731 304305 365166 405740 527462 547749 608610 730332 791193 912915 1054924 1095498 1217220 1318655 1582386 1825830 2190996 2373579 2637310 2738745 3164772 3651660 3955965 4747158 5274620 5477490 7120737 7911930 9494316 10954980 11867895 14241474 15823860 23735790 28482948 35603685 47471580 71207370 142414740