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142765540 = 22531409563
BaseRepresentation
bin10001000001001…
…10110111100100
3100221122020111121
420200212313210
5243021444130
622055543324
73352326031
oct1040466744
9327566447
10142765540
1173650955
123b98ab44
1323768068
1414d64388
15c800d7a
hex8826de4

142765540 has 48 divisors (see below), whose sum is σ = 310786560. Its totient is φ = 55031040.

The previous prime is 142765529. The next prime is 142765549. The reversal of 142765540 is 45567241.

It is a super-2 number, since 2×1427655402 = 40763998822983200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142765496 and 142765505.

It is not an unprimeable number, because it can be changed into a prime (142765549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253299 + ... + 253861.

It is an arithmetic number, because the mean of its divisors is an integer number (6474720).

Almost surely, 2142765540 is an apocalyptic number.

142765540 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 142765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155393280).

142765540 is an abundant number, since it is smaller than the sum of its proper divisors (168021020).

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

142765540 is a wasteful number, since it uses less digits than its factorization.

142765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 142765540 is about 11948.4534564102. The cubic root of 142765540 is about 522.6462003980.

The spelling of 142765540 in words is "one hundred forty-two million, seven hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 409 563 620 818 1126 1636 2045 2252 2815 4090 5630 8180 11260 12679 17453 25358 34906 50716 63395 69812 87265 126790 174530 230267 253580 349060 460534 921068 1151335 2302670 4605340 7138277 14276554 28553108 35691385 71382770 142765540