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142873584 = 24375371113
BaseRepresentation
bin10001000010000…
…01001111110000
3100221211201201020
420201001033300
5243033423314
622102135440
73353256030
oct1041011760
9327751636
10142873584
1173715047
123ba21580
13237a52a9
1414d918c0
15c822da9
hex88413f0

142873584 has 160 divisors (see below), whose sum is σ = 439686144. Its totient is φ = 39137280.

The previous prime is 142873583. The next prime is 142873589. The reversal of 142873584 is 485378241.

142873584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1428735842 = 40825722010010112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142873583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264312 + ... + 1264424.

Almost surely, 2142873584 is an apocalyptic number.

142873584 is a gapful number since it is divisible by the number (14) 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 142873584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072).

142873584 is an abundant number, since it is smaller than the sum of its proper divisors (296812560).

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

142873584 is a wasteful number, since it uses less digits than its factorization.

142873584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 142873584 is about 11952.9738559072. The cubic root of 142873584 is about 522.7780121947.

It can be divided in two parts, 14287 and 3584, that added together give a palindrome (17871).

The spelling of 142873584 in words is "one hundred forty-two million, eight hundred seventy-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 71 84 106 112 113 142 159 168 212 213 226 284 318 336 339 371 424 426 452 497 568 636 678 742 791 848 852 904 994 1113 1136 1272 1356 1484 1491 1582 1704 1808 1988 2226 2373 2544 2712 2968 2982 3164 3408 3763 3976 4452 4746 5424 5936 5964 5989 6328 7526 7952 8023 8904 9492 11289 11928 11978 12656 15052 16046 17808 17967 18984 22578 23856 23956 24069 26341 30104 32092 35934 37968 41923 45156 47912 48138 52682 56161 60208 64184 71868 79023 83846 90312 95824 96276 105364 112322 125769 128368 143736 158046 167692 168483 180624 192552 210728 224644 251538 287472 316092 335384 336966 385104 421456 425219 449288 503076 632184 670768 673932 850438 898576 1006152 1264368 1275657 1347864 1700876 2012304 2551314 2695728 2976533 3401752 5102628 5953066 6803504 8929599 10205256 11906132 17859198 20410512 23812264 35718396 47624528 71436792 142873584