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142163640 = 23335139947
BaseRepresentation
bin10000111100100…
…11111010111000
3100220111122212000
420132103322320
5242343214030
622035021000
73344241153
oct1036237270
9326448760
10142163640
117327a713
123b73a760
13235b70c8
1414c48c9a
15c732860
hex8793eb8

142163640 has 128 divisors (see below), whose sum is σ = 477792000. Its totient is φ = 37597824.

The previous prime is 142163617. The next prime is 142163663. The reversal of 142163640 is 46361241.

142163640 is a `hidden beast` number, since 1 + 4 + 2 + 16 + 3 + 640 = 666.

142163640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142163617) and next prime (142163663).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149647 + ... + 150593.

It is an arithmetic number, because the mean of its divisors is an integer number (3732750).

Almost surely, 2142163640 is an apocalyptic number.

142163640 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 142163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238896000).

142163640 is an abundant number, since it is smaller than the sum of its proper divisors (335628360).

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

142163640 is a wasteful number, since it uses less digits than its factorization.

142163640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142163640 is about 11923.2394926882. The cubic root of 142163640 is about 521.9106730488.

The spelling of 142163640 in words is "one hundred forty-two million, one hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 947 1080 1112 1251 1390 1668 1894 2085 2502 2780 2841 3336 3753 3788 4170 4735 5004 5560 5682 6255 7506 7576 8340 8523 9470 10008 11364 12510 14205 15012 16680 17046 18765 18940 22728 25020 25569 28410 30024 34092 37530 37880 42615 50040 51138 56820 68184 75060 85230 102276 113640 127845 131633 150120 170460 204552 255690 263266 340920 394899 511380 526532 658165 789798 1022760 1053064 1184697 1316330 1579596 1974495 2369394 2632660 3159192 3554091 3948990 4738788 5265320 5923485 7108182 7897980 9477576 11846970 14216364 15795960 17770455 23693940 28432728 35540910 47387880 71081820 142163640