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142312632 = 233711531453
BaseRepresentation
bin10000111101110…
…00010010111000
3100220210020020020
420132320102320
5242413001012
622042130440
73345431430
oct1036702270
9326706206
10142312632
1173371650
123b7b0a20
1323639b77
1414c872c0
15c761a8c
hex87b84b8

142312632 has 128 divisors (see below), whose sum is σ = 452252160. Its totient is φ = 36241920.

The previous prime is 142312631. The next prime is 142312633. The reversal of 142312632 is 236213241.

It is an interprime number because it is at equal distance from previous prime (142312631) and next prime (142312633).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142312631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97218 + ... + 98670.

It is an arithmetic number, because the mean of its divisors is an integer number (3533220).

Almost surely, 2142312632 is an apocalyptic number.

142312632 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 142312632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226126080).

142312632 is an abundant number, since it is smaller than the sum of its proper divisors (309939528).

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

142312632 is a wasteful number, since it uses less digits than its factorization.

142312632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 142312632 is about 11929.4858229515. The cubic root of 142312632 is about 522.0929356997.

Adding to 142312632 its reverse (236213241), we get a palindrome (378525873).

The spelling of 142312632 in words is "one hundred forty-two million, three hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 212 231 264 308 318 371 424 462 583 616 636 742 924 1113 1166 1272 1453 1484 1749 1848 2226 2332 2906 2968 3498 4081 4359 4452 4664 5812 6996 8162 8718 8904 10171 11624 12243 13992 15983 16324 17436 20342 24486 30513 31966 32648 34872 40684 47949 48972 61026 63932 77009 81368 95898 97944 111881 122052 127864 154018 191796 223762 231027 244104 308036 335643 383592 447524 462054 539063 616072 671286 847099 895048 924108 1078126 1342572 1617189 1694198 1848216 2156252 2541297 2685144 3234378 3388396 4312504 5082594 5929693 6468756 6776792 10165188 11859386 12937512 17789079 20330376 23718772 35578158 47437544 71156316 142312632