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142889040 = 24325728351
BaseRepresentation
bin10001000010001…
…01000001010000
3100221212111220200
420201011001100
5243034422130
622102335200
73353352060
oct1041050120
9327774820
10142889040
1173725718
123ba2a500
13237ac338
1414d973a0
15c827760
hex8845050

142889040 has 120 divisors (see below), whose sum is σ = 548441088. Its totient is φ = 32659200.

The previous prime is 142889039. The next prime is 142889069. The reversal of 142889040 is 40988241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142888986 and 142889004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9136 + ... + 19215.

Almost surely, 2142889040 is an apocalyptic number.

142889040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142889040 is an abundant number, since it is smaller than the sum of its proper divisors (405552048).

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

142889040 is a wasteful number, since it uses less digits than its factorization.

142889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28377 (or 28368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142889040 is about 11953.6203720881. The cubic root of 142889040 is about 522.7968628117.

The spelling of 142889040 in words is "one hundred forty-two million, eight hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 28351 56702 85053 113404 141755 170106 198457 226808 255159 283510 340212 396914 425265 453616 510318 567020 595371 680424 793828 850530 992285 1020636 1134040 1190742 1275795 1360848 1587656 1701060 1786113 1984570 2041272 2268080 2381484 2551590 2976855 3175312 3402120 3572226 3969140 4082544 4762968 5103180 5953710 6804240 7144452 7938280 8930565 9525936 10206360 11907420 14288904 15876560 17861130 20412720 23814840 28577808 35722260 47629680 71444520 142889040