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142008720 = 24357137617
BaseRepresentation
bin10000111011011…
…10000110010000
3100220012210100020
420131232012100
5242323234340
622031423440
73343024410
oct1035560620
9326183306
10142008720
1173184287
123b684b80
1323561739
1414c08640
15c7019d0
hex876e190

142008720 has 160 divisors (see below), whose sum is σ = 507610368. Its totient is φ = 32169984.

The previous prime is 142008719. The next prime is 142008721. The reversal of 142008720 is 27800241.

It is an interprime number because it is at equal distance from previous prime (142008719) and next prime (142008721).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142008721) 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, 229852 + ... + 230468.

Almost surely, 2142008720 is an apocalyptic number.

142008720 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 142008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253805184).

142008720 is an abundant number, since it is smaller than the sum of its proper divisors (365601648).

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

142008720 is a wasteful number, since it uses less digits than its factorization.

142008720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

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

The square root of 142008720 is about 11916.7411652683. The cubic root of 142008720 is about 521.7210235504.

Adding to 142008720 its reverse (27800241), we get a palindrome (169808961).

The spelling of 142008720 in words is "one hundred forty-two million, eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 137 140 168 210 240 274 280 336 411 420 548 560 617 685 822 840 959 1096 1234 1370 1644 1680 1851 1918 2055 2192 2468 2740 2877 3085 3288 3702 3836 4110 4319 4795 4936 5480 5754 6170 6576 7404 7672 8220 8638 9255 9590 9872 10960 11508 12340 12957 14385 14808 15344 16440 17276 18510 19180 21595 23016 24680 25914 28770 29616 32880 34552 37020 38360 43190 46032 49360 51828 57540 64785 69104 74040 76720 84529 86380 103656 115080 129570 148080 169058 172760 207312 230160 253587 259140 338116 345520 422645 507174 518280 591703 676232 845290 1014348 1036560 1183406 1267935 1352464 1690580 1775109 2028696 2366812 2535870 2958515 3381160 3550218 4057392 4733624 5071740 5917030 6762320 7100436 8875545 9467248 10143480 11834060 14200872 17751090 20286960 23668120 28401744 35502180 47336240 71004360 142008720