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142563420 = 223252931881
BaseRepresentation
bin10000111111101…
…01100001011100
3100221020222020200
420133311201130
5242444012140
622051343500
73350524536
oct1037654134
9327228220
10142563420
117352300a
123b8b1b90
13236c706c
1414d10856
15c7b1030
hex87f585c

142563420 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 35481600.

The previous prime is 142563413. The next prime is 142563439. The reversal of 142563420 is 24365241.

142563420 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 634 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161380 + ... + 162260.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2142563420 is an apocalyptic number.

142563420 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 142563420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

142563420 is an abundant number, since it is smaller than the sum of its proper divisors (319745700).

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

142563420 is a wasteful number, since it uses less digits than its factorization.

142563420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142563420 is about 11939.9924623092. The cubic root of 142563420 is about 522.3994388402.

The spelling of 142563420 in words is "one hundred forty-two million, five hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 881 899 930 1044 1116 1305 1395 1740 1762 1798 1860 2610 2643 2697 2790 3524 3596 4405 4495 5220 5286 5394 5580 7929 8091 8810 8990 10572 10788 13215 13485 15858 16182 17620 17980 25549 26430 26970 27311 31716 32364 39645 40455 51098 52860 53940 54622 76647 79290 80910 81933 102196 109244 127745 136555 153294 158580 161820 163866 229941 245799 255490 273110 306588 327732 383235 409665 459882 491598 510980 546220 766470 792019 819330 919764 983196 1149705 1228995 1532940 1584038 1638660 2299410 2376057 2457990 3168076 3960095 4598820 4752114 4915980 7128171 7920190 9504228 11880285 14256342 15840380 23760570 28512684 35640855 47521140 71281710 142563420