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142228528 = 241317192973
BaseRepresentation
bin10000111101000…
…11110000110000
3100220121221212021
420132203300300
5242402303103
622040241224
73344631301
oct1036436060
9326557767
10142228528
1173314442
123b770214
132360a7c0
1414c647a8
15c746bbd
hex87a3c30

142228528 has 160 divisors (see below), whose sum is σ = 346852800. Its totient is φ = 55738368.

The previous prime is 142228517. The next prime is 142228529. The reversal of 142228528 is 825822241.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 142228493 and 142228502.

It is not an unprimeable number, because it can be changed into a prime (142228529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948300 + ... + 1948372.

It is an arithmetic number, because the mean of its divisors is an integer number (2167830).

Almost surely, 2142228528 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 142228528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173426400).

142228528 is an abundant number, since it is smaller than the sum of its proper divisors (204624272).

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

142228528 is a wasteful number, since it uses less digits than its factorization.

142228528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 142228528 is about 11925.9602548390. The cubic root of 142228528 is about 521.9900665060.

The spelling of 142228528 in words is "one hundred forty-two million, two hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 19 26 29 34 38 52 58 68 73 76 104 116 136 146 152 208 221 232 247 272 292 304 323 377 442 464 493 494 551 584 646 754 884 949 986 988 1102 1168 1241 1292 1387 1508 1768 1898 1972 1976 2117 2204 2482 2584 2774 3016 3536 3796 3944 3952 4199 4234 4408 4964 5168 5548 6032 6409 7163 7592 7888 8398 8468 8816 9367 9928 11096 12818 14326 15184 16133 16796 16936 18031 18734 19856 22192 23579 25636 27521 28652 32266 33592 33872 35989 36062 37468 40223 47158 51272 55042 57304 64532 67184 71978 72124 74936 80446 94316 102544 110084 114608 121771 129064 143956 144248 149872 160892 188632 220168 243542 258128 287912 288496 306527 321784 377264 440336 467857 487084 522899 575824 613054 643568 683791 935714 974168 1045798 1226108 1367582 1871428 1948336 2091596 2452216 2735164 3742856 4183192 4904432 5470328 7485712 8366384 8889283 10940656 17778566 35557132 71114264 142228528