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142263216 = 2434313541
BaseRepresentation
bin10000111101011…
…00001110110000
3100220200201110000
420132230032300
5242404410331
622041110000
73345134364
oct1036541660
9326621400
10142263216
1173338507
123b788300
1323620524
1414c732a4
15c7520e6
hex87ac3b0

142263216 has 100 divisors (see below), whose sum is σ = 425153344. Its totient is φ = 45878400.

The previous prime is 142263193. The next prime is 142263227. The reversal of 142263216 is 612362241.

142263216 is a `hidden beast` number, since 1 + 4 + 22 + 632 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142263216.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 38406 + ... + 41946.

Almost surely, 2142263216 is an apocalyptic number.

142263216 is a gapful number since it is divisible by the number (16) 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 142263216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212576672).

142263216 is an abundant number, since it is smaller than the sum of its proper divisors (282890128).

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

142263216 is a wasteful number, since it uses less digits than its factorization.

142263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3577 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 142263216 is about 11927.4144725502. The cubic root of 142263216 is about 522.0324989675.

The spelling of 142263216 in words is "one hundred forty-two million, two hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 3541 4464 5022 6696 7082 10044 10623 13392 14164 20088 21246 28328 31869 40176 42492 56656 63738 84984 95607 109771 127476 169968 191214 219542 254952 286821 329313 382428 439084 509904 573642 658626 764856 878168 987939 1147284 1317252 1529712 1756336 1975878 2294568 2634504 2963817 3951756 4589136 5269008 5927634 7903512 8891451 11855268 15807024 17782902 23710536 35565804 47421072 71131608 142263216