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142570116 = 223213312317
BaseRepresentation
bin10000111111101…
…11001010000100
3100221021022102200
420133313022010
5242444220431
622051434500
73350553213
oct1037671204
9327238380
10142570116
1173528047
123b8b5a30
13236ca120
1414d1307a
15c7b2ee6
hex87f7284

142570116 has 108 divisors (see below), whose sum is σ = 402296076. Its totient is φ = 42318720.

The previous prime is 142570111. The next prime is 142570121. The reversal of 142570116 is 611075241.

It is a happy number.

142570116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142570111) and next prime (142570121).

It can be written as a sum of positive squares in 2 ways, for example, as 13838400 + 128731716 = 3720^2 + 11346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142570116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142570111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449590 + ... + 449906.

Almost surely, 2142570116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142570116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201148038).

142570116 is an abundant number, since it is smaller than the sum of its proper divisors (259725960).

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

142570116 is a wasteful number, since it uses less digits than its factorization.

142570116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 142570116 is about 11940.2728612038. The cubic root of 142570116 is about 522.4076174971.

The spelling of 142570116 in words is "one hundred forty-two million, five hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 317 372 403 468 558 634 806 951 961 1116 1209 1268 1612 1902 1922 2418 2853 2883 3627 3804 3844 4121 4836 5706 5766 7254 8242 8649 9827 11412 11532 12363 12493 14508 16484 17298 19654 24726 24986 29481 34596 37089 37479 39308 49452 49972 58962 74178 74958 88443 112437 117924 127751 148356 149916 176886 224874 255502 304637 353772 383253 449748 511004 609274 766506 913911 1149759 1218548 1533012 1827822 2299518 2741733 3655644 3960281 4599036 5483466 7920562 10966932 11880843 15841124 23761686 35642529 47523372 71285058 142570116