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142681056 = 2537673169
BaseRepresentation
bin10001000000100…
…10001111100000
3100221110221121120
420200102033200
5243011243211
622054052240
73351524520
oct1040221740
9327427546
10142681056
11735a3431
123b94a080
132373877b
1414d41680
15c7d5d06
hex88123e0

142681056 has 96 divisors (see below), whose sum is σ = 434568960. Its totient is φ = 40144896.

The previous prime is 142681043. The next prime is 142681061. The reversal of 142681056 is 650186241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43440 + ... + 46608.

It is an arithmetic number, because the mean of its divisors is an integer number (4526760).

Almost surely, 2142681056 is an apocalyptic number.

142681056 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 142681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217284480).

142681056 is an abundant number, since it is smaller than the sum of its proper divisors (291887904).

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

142681056 is a wasteful number, since it uses less digits than its factorization.

142681056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 142681056 is about 11944.9175802933. The cubic root of 142681056 is about 522.5430850516.

The spelling of 142681056 in words is "one hundred forty-two million, six hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1407 1608 1876 2144 2814 3169 3216 3752 5628 6338 6432 7504 9507 11256 12676 15008 19014 22183 22512 25352 38028 44366 45024 50704 66549 76056 88732 101408 133098 152112 177464 212323 266196 304224 354928 424646 532392 636969 709856 849292 1064784 1273938 1486261 1698584 2129568 2547876 2972522 3397168 4458783 5095752 5945044 6794336 8917566 10191504 11890088 17835132 20383008 23780176 35670264 47560352 71340528 142681056