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142486920 = 233251572521
BaseRepresentation
bin10000111111000…
…10110110001000
3100221010002022100
420133202312020
5242434040140
622045553400
73350055522
oct1037426610
9327102270
10142486920
1173480594
123b875860
132369b2b4
1414cd0a12
15c798530
hex87e2d88

142486920 has 96 divisors (see below), whose sum is σ = 466216920. Its totient is φ = 37739520.

The previous prime is 142486919. The next prime is 142486921. The reversal of 142486920 is 29684241.

It is an interprime number because it is at equal distance from previous prime (142486919) and next prime (142486921).

It can be written as a sum of positive squares in 4 ways, for example, as 48358116 + 94128804 = 6954^2 + 9702^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142486921) 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 23 ways as a sum of consecutive naturals, for example, 55260 + ... + 57780.

Almost surely, 2142486920 is an apocalyptic number.

142486920 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 142486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233108460).

142486920 is an abundant number, since it is smaller than the sum of its proper divisors (323730000).

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

142486920 is a wasteful number, since it uses less digits than its factorization.

142486920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 142486920 is about 11936.7885128287. The cubic root of 142486920 is about 522.3059817028.

The spelling of 142486920 in words is "one hundred forty-two million, four hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2521 2826 3140 3768 4710 5042 5652 6280 7065 7563 9420 10084 11304 12605 14130 15126 18840 20168 22689 25210 28260 30252 37815 45378 50420 56520 60504 75630 90756 100840 113445 151260 181512 226890 302520 395797 453780 791594 907560 1187391 1583188 1978985 2374782 3166376 3562173 3957970 4749564 5936955 7124346 7915940 9499128 11873910 14248692 15831880 17810865 23747820 28497384 35621730 47495640 71243460 142486920