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142604640 = 25325167593
BaseRepresentation
bin10000111111111…
…11100101100000
3100221100001210100
420133333211200
5243001322030
622052302400
73351055653
oct1037774540
9327301710
10142604640
1173550a82
123b911a00
132370ca59
1414d2189a
15c7bd360
hex87ff960

142604640 has 144 divisors (see below), whose sum is σ = 490377888. Its totient is φ = 37736448.

The previous prime is 142604603. The next prime is 142604659. The reversal of 142604640 is 46406241.

142604640 is a `hidden beast` number, since 14 + 2 + 6 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240184 + ... + 240776.

It is an arithmetic number, because the mean of its divisors is an integer number (3405402).

Almost surely, 2142604640 is an apocalyptic number.

142604640 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 142604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245188944).

142604640 is an abundant number, since it is smaller than the sum of its proper divisors (347773248).

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

142604640 is a wasteful number, since it uses less digits than its factorization.

142604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142604640 is about 11941.7184692991. The cubic root of 142604640 is about 522.4497818849.

The spelling of 142604640 in words is "one hundred forty-two million, six hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 167 180 240 288 334 360 480 501 593 668 720 835 1002 1186 1336 1440 1503 1670 1779 2004 2372 2505 2672 2965 3006 3340 3558 4008 4744 5010 5337 5344 5930 6012 6680 7116 7515 8016 8895 9488 10020 10674 11860 12024 13360 14232 15030 16032 17790 18976 20040 21348 23720 24048 26685 26720 28464 30060 35580 40080 42696 47440 48096 53370 56928 60120 71160 80160 85392 94880 99031 106740 120240 142320 170784 198062 213480 240480 284640 297093 396124 426960 495155 594186 792248 853920 891279 990310 1188372 1485465 1584496 1782558 1980620 2376744 2970930 3168992 3565116 3961240 4456395 4753488 5941860 7130232 7922480 8912790 9506976 11883720 14260464 15844960 17825580 23767440 28520928 35651160 47534880 71302320 142604640