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142648128 = 263473931
BaseRepresentation
bin10001000000010…
…10001101000000
3100221102021110000
420200022031000
5243004220003
622053240000
73351326520
oct1040121500
9327367400
10142648128
1173580717
123b933000
132372679c
1414d33680
15c7cb1a3
hex880a340

142648128 has 140 divisors (see below), whose sum is σ = 483384352. Its totient is φ = 40746240.

The previous prime is 142648109. The next prime is 142648133. The reversal of 142648128 is 821846241.

142648128 is a `hidden beast` number, since 1 + 4 + 2 + 648 + 1 + 2 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 142648092 and 142648101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34323 + ... + 38253.

Almost surely, 2142648128 is an apocalyptic number.

142648128 is a gapful number since it is divisible by the number (18) 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 142648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241692176).

142648128 is an abundant number, since it is smaller than the sum of its proper divisors (340736224).

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

142648128 is an equidigital number, since it uses as much as digits as its factorization.

142648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3943 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 142648128 is about 11943.5391739635. The cubic root of 142648128 is about 522.5028843808.

The spelling of 142648128 in words is "one hundred forty-two million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3931 4032 4536 5184 6048 7862 9072 11793 12096 15724 18144 23586 27517 31448 35379 36288 47172 55034 62896 70758 82551 94344 106137 110068 125792 141516 165102 188688 212274 220136 247653 251584 283032 318411 330204 377376 424548 440272 495306 566064 636822 660408 742959 754752 849096 880544 990612 1132128 1273644 1320816 1485918 1698192 1761088 1981224 2228877 2264256 2547288 2641632 2971836 3396384 3962448 4457754 5094576 5283264 5943672 6792768 7924896 8915508 10189152 11887344 15849792 17831016 20378304 23774688 35662032 47549376 71324064 142648128