Search a number
-
+
142701552 = 24327197451
BaseRepresentation
bin10001000000101…
…11001111110000
3100221111222201200
420200113033300
5243012422202
622054331200
73351641340
oct1040271760
9327458650
10142701552
1173607874
123b959b00
1323744bb6
1414d48d20
15c7dbe1c
hex88173f0

142701552 has 120 divisors (see below), whose sum is σ = 480504960. Its totient is φ = 38620800.

The previous prime is 142701527. The next prime is 142701569. The reversal of 142701552 is 255107241.

142701552 is a `hidden beast` number, since 1 + 42 + 70 + 1 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427 + ... + 22877.

It is an arithmetic number, because the mean of its divisors is an integer number (4004208).

Almost surely, 2142701552 is an apocalyptic number.

142701552 is a gapful number since it is divisible by the number (12) 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 142701552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240252480).

142701552 is an abundant number, since it is smaller than the sum of its proper divisors (337803408).

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

142701552 is a wasteful number, since it uses less digits than its factorization.

142701552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 142701552 is about 11945.7754875939. The cubic root of 142701552 is about 522.5681047952.

Adding to 142701552 its reverse (255107241), we get a palindrome (397808793).

The spelling of 142701552 in words is "one hundred forty-two million, seven hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 7451 9576 14902 19152 22353 29804 44706 52157 59608 67059 89412 104314 119216 134118 141569 156471 178824 208628 268236 283138 312942 357648 417256 424707 469413 536472 566276 625884 834512 849414 938826 990983 1072944 1132552 1251768 1274121 1698828 1877652 1981966 2265104 2503536 2548242 2972949 3397656 3755304 3963932 5096484 5945898 6795312 7510608 7927864 8918847 10192968 11891796 15855728 17837694 20385936 23783592 35675388 47567184 71350776 142701552