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142725744 = 24327178329
BaseRepresentation
bin10001000000111…
…01001001110000
3100221120012220200
420200131021300
5243014210434
622055035200
73352102020
oct1040351160
9327505820
10142725744
1173623a67
123b96bb00
1323752c05
1414d53a80
15c7e4199
hex881d270

142725744 has 120 divisors (see below), whose sum is σ = 483406560. Its totient is φ = 38375424.

The previous prime is 142725719. The next prime is 142725749. The reversal of 142725744 is 447527241.

142725744 is a `hidden beast` number, since 14 + 2 + 72 + 574 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142725699 and 142725708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142725749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12972 + ... + 21300.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2142725744 is an apocalyptic number.

142725744 is a gapful number since it is divisible by the number (14) 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 142725744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

142725744 is an abundant number, since it is smaller than the sum of its proper divisors (340680816).

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

142725744 is a wasteful number, since it uses less digits than its factorization.

142725744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8358 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 142725744 is about 11946.7880202170. The cubic root of 142725744 is about 522.5976332133.

The spelling of 142725744 in words is "one hundred forty-two million, seven hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8329 8568 16658 17136 24987 33316 49974 58303 66632 74961 99948 116606 133264 141593 149922 174909 199896 233212 283186 299844 349818 399792 424779 466424 524727 566372 599688 699636 849558 932848 991151 1049454 1132744 1199376 1274337 1399272 1699116 1982302 2098908 2265488 2548674 2798544 2973453 3398232 3964604 4197816 5097348 5946906 6796464 7929208 8395632 8920359 10194696 11893812 15858416 17840718 20389392 23787624 35681436 47575248 71362872 142725744