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142063632 = 243561599
BaseRepresentation
bin10000111011110…
…11100000010000
3100220022120200000
420131323200100
5242332014012
622032530000
73343343454
oct1035734020
9326276600
10142063632
1173211567
123b6b0900
1323580729
1414c20664
15c712ddc
hex877b810

142063632 has 120 divisors (see below), whose sum is σ = 419764800. Its totient is φ = 46500480.

The previous prime is 142063619. The next prime is 142063639. The reversal of 142063632 is 236360241.

142063632 is a `hidden beast` number, since 1 + 4 + 20 + 6 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142063596 and 142063605.

It is not an unprimeable number, because it can be changed into a prime (142063639) 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, 236869 + ... + 237467.

It is an arithmetic number, because the mean of its divisors is an integer number (3498040).

Almost surely, 2142063632 is an apocalyptic number.

142063632 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 142063632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209882400).

142063632 is an abundant number, since it is smaller than the sum of its proper divisors (277701168).

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

142063632 is an equidigital number, since it uses as much as digits as its factorization.

142063632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 142063632 is about 11919.0449281811. The cubic root of 142063632 is about 521.7882613298.

The spelling of 142063632 in words is "one hundred forty-two million, sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 599 648 732 972 976 1098 1198 1296 1464 1647 1797 1944 2196 2396 2928 3294 3594 3888 4392 4792 4941 5391 6588 7188 8784 9584 9882 10782 13176 14376 14823 16173 19764 21564 26352 28752 29646 32346 36539 39528 43128 48519 59292 64692 73078 79056 86256 97038 109617 118584 129384 145557 146156 194076 219234 237168 258768 291114 292312 328851 388152 438468 582228 584624 657702 776304 876936 986553 1164456 1315404 1753872 1973106 2328912 2630808 2959659 3946212 5261616 5919318 7892424 8878977 11838636 15784848 17757954 23677272 35515908 47354544 71031816 142063632