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142520040 = 233351310151
BaseRepresentation
bin10000111111010…
…10111011101000
3100221011202202000
420133222323220
5242441120130
622050411000
73350254215
oct1037527350
9327152660
10142520040
11734a3463
123b890a60
13236b03b0
1414cdcb0c
15c7a3260
hex87eaee8

142520040 has 128 divisors (see below), whose sum is σ = 511660800. Its totient is φ = 35078400.

The previous prime is 142520039. The next prime is 142520087. The reversal of 142520040 is 40025241.

142520040 is a `hidden beast` number, since 1 + 425 + 200 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142519995 and 142520022.

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, 8965 + ... + 19115.

It is an arithmetic number, because the mean of its divisors is an integer number (3997350).

Almost surely, 2142520040 is an apocalyptic number.

142520040 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 142520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255830400).

142520040 is an abundant number, since it is smaller than the sum of its proper divisors (369140760).

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

142520040 is a wasteful number, since it uses less digits than its factorization.

142520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142520040 is about 11938.1757400367. The cubic root of 142520040 is about 522.3464472509.

Adding to 142520040 its reverse (40025241), we get a palindrome (182545281).

The spelling of 142520040 in words is "one hundred forty-two million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 10151 14040 20302 30453 40604 50755 60906 81208 91359 101510 121812 131963 152265 182718 203020 243624 263926 274077 304530 365436 395889 406040 456795 527852 548154 609060 659815 730872 791778 913590 1055704 1096308 1187667 1218120 1319630 1370385 1583556 1827180 1979445 2192616 2375334 2639260 2740770 3167112 3563001 3654360 3958890 4750668 5278520 5481540 5938335 7126002 7917780 9501336 10963080 11876670 14252004 15835560 17815005 23753340 28504008 35630010 47506680 71260020 142520040