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147142140 = 223517181797
BaseRepresentation
bin10001100010100…
…11010111111100
3101020212121001220
420301103113330
5300132022030
622333433340
73434454555
oct1061232774
9336777056
10147142140
1176070082
124133b850
132463b172
141578332c
15cdb7a10
hex8c535fc

147142140 has 96 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 36679680.

The previous prime is 147142129. The next prime is 147142169. The reversal of 147142140 is 41241741.

147142140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 147142140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184222 + ... + 185018.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2147142140 is an apocalyptic number.

147142140 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 147142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

147142140 is an abundant number, since it is smaller than the sum of its proper divisors (292051524).

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

147142140 is a wasteful number, since it uses less digits than its factorization.

147142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 147142140 is about 12130.2159914818. The cubic root of 147142140 is about 527.9332588965.

Adding to 147142140 its reverse (41241741), we get a palindrome (188383881).

The spelling of 147142140 in words is "one hundred forty-seven million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 340 362 510 543 724 797 905 1020 1086 1594 1810 2172 2391 2715 3077 3188 3620 3985 4782 5430 6154 7970 9231 9564 10860 11955 12308 13549 15385 15940 18462 23910 27098 30770 36924 40647 46155 47820 54196 61540 67745 81294 92310 135490 144257 162588 184620 203235 270980 288514 406470 432771 577028 721285 812940 865542 1442570 1731084 2163855 2452369 2885140 4327710 4904738 7357107 8655420 9809476 12261845 14714214 24523690 29428428 36785535 49047380 73571070 147142140