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142501040 = 24511831951
BaseRepresentation
bin10000111111001…
…10010010110000
3100221010210200022
420133212102300
5242440013130
622050143012
73350144633
oct1037462260
9327123608
10142501040
1173490160
123b881a68
13236a4856
1414cd5c1a
15c79c7e5
hex87e64b0

142501040 has 80 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 51168000.

The previous prime is 142501033. The next prime is 142501049. The reversal of 142501040 is 40105241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (142501049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72065 + ... + 74015.

Almost surely, 2142501040 is an apocalyptic number.

142501040 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 142501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

142501040 is an abundant number, since it is smaller than the sum of its proper divisors (223475536).

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

142501040 is a wasteful number, since it uses less digits than its factorization.

142501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 142501040 is about 11937.3799470403. The cubic root of 142501040 is about 522.3232340861.

Adding to 142501040 its reverse (40105241), we get a palindrome (182606281).

The spelling of 142501040 in words is "one hundred forty-two million, five hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 1951 3320 3652 3902 4565 6640 7304 7804 9130 9755 14608 15608 18260 19510 21461 31216 36520 39020 42922 73040 78040 85844 107305 156080 161933 171688 214610 323866 343376 429220 647732 809665 858440 1295464 1619330 1716880 1781263 2590928 3238660 3562526 6477320 7125052 8906315 12954640 14250104 17812630 28500208 35625260 71250520 142501040