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142263540 = 22345137641
BaseRepresentation
bin10000111101011…
…00010011110100
3100220200201220000
420132230103310
5242404413130
622041111300
73345135336
oct1036542364
9326621800
10142263540
1173338781
123b788530
1323620713
1414c73456
15c752260
hex87ac4f4

142263540 has 120 divisors (see below), whose sum is σ = 450244872. Its totient is φ = 37601280.

The previous prime is 142263523. The next prime is 142263551. The reversal of 142263540 is 45362241.

142263540 is a `hidden beast` number, since 1 + 4 + 22 + 635 + 4 + 0 = 666.

142263540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45319824 + 96943716 = 6732^2 + 9846^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221620 + ... + 222260.

Almost surely, 2142263540 is an apocalyptic number.

142263540 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 142263540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225122436).

142263540 is an abundant number, since it is smaller than the sum of its proper divisors (307981332).

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

142263540 is a wasteful number, since it uses less digits than its factorization.

142263540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142263540 is about 11927.4280546981. The cubic root of 142263540 is about 522.0328952714.

It can be divided in two parts, 14226 and 3540, that added together give a triangular number (17766 = T188).

The spelling of 142263540 in words is "one hundred forty-two million, two hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 137 162 180 270 274 324 405 411 540 548 641 685 810 822 1233 1282 1370 1620 1644 1923 2055 2466 2564 2740 3205 3699 3846 4110 4932 5769 6165 6410 7398 7692 8220 9615 11097 11538 12330 12820 14796 17307 18495 19230 22194 23076 24660 28845 34614 36990 38460 44388 51921 55485 57690 69228 73980 86535 87817 103842 110970 115380 173070 175634 207684 221940 259605 263451 346140 351268 439085 519210 526902 790353 878170 1038420 1053804 1317255 1580706 1756340 2371059 2634510 3161412 3951765 4742118 5269020 7113177 7903530 9484236 11855295 14226354 15807060 23710590 28452708 35565885 47421180 71131770 142263540