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142275276 = 2232111329953
BaseRepresentation
bin10000111101011…
…11001011001100
3100220201022222200
420132233023030
5242410302101
622041241500
73345214503
oct1036571314
9326638880
10142275276
1173346580
123b793290
1323625b70
1414c7783a
15c755986
hex87af2cc

142275276 has 144 divisors (see below), whose sum is σ = 437542560. Its totient is φ = 38384640.

The previous prime is 142275253. The next prime is 142275277. The reversal of 142275276 is 672572241.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142275276.

It is not an unprimeable number, because it can be changed into a prime (142275277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148816 + ... + 149768.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 2142275276 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 142275276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218771280).

142275276 is an abundant number, since it is smaller than the sum of its proper divisors (295267284).

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

142275276 is a wasteful number, since it uses less digits than its factorization.

142275276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1011 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 142275276 is about 11927.9200198526. The cubic root of 142275276 is about 522.0472498737.

It can be divided in two parts, 14227 and 5276, that added together give a triangular number (19503 = T197).

The spelling of 142275276 in words is "one hundred forty-two million, two hundred seventy-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 468 522 572 638 754 858 953 957 1044 1131 1276 1287 1508 1716 1906 1914 2262 2574 2859 2871 3393 3812 3828 4147 4524 5148 5718 5742 6786 8294 8577 10483 11436 11484 12389 12441 13572 16588 17154 20966 24778 24882 27637 31449 34308 37167 37323 41932 49556 49764 55274 62898 74334 74646 82911 94347 110548 111501 125796 136279 148668 149292 165822 188694 223002 248733 272558 304007 331644 359281 377388 408837 446004 497466 545116 608014 718562 817674 912021 994932 1077843 1216028 1226511 1437124 1635348 1824042 2155686 2453022 2736063 3233529 3648084 3952091 4311372 4906044 5472126 6467058 7904182 10944252 11856273 12934116 15808364 23712546 35568819 47425092 71137638 142275276