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142555632 = 24319672333
BaseRepresentation
bin10000111111100…
…11100111110000
3100221020120120020
420133303213300
5242443240012
622051243440
73350463042
oct1037634760
9327216506
10142555632
117351817a
123b8a9580
13236c365b
1414d0ba92
15c7ada8c
hex87f39f0

142555632 has 80 divisors (see below), whose sum is σ = 393605760. Its totient is φ = 44326656.

The previous prime is 142555631. The next prime is 142555667. The reversal of 142555632 is 236555241.

It is a junction number, because it is equal to n+sod(n) for n = 142555593 and 142555602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142555631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59938 + ... + 62270.

It is an arithmetic number, because the mean of its divisors is an integer number (4920072).

Almost surely, 2142555632 is an apocalyptic number.

142555632 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 142555632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196802880).

142555632 is an abundant number, since it is smaller than the sum of its proper divisors (251050128).

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

142555632 is a wasteful number, since it uses less digits than its factorization.

142555632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 142555632 is about 11939.6663269959. Note that the first 3 decimals coincide. The cubic root of 142555632 is about 522.3899260659.

The spelling of 142555632 in words is "one hundred forty-two million, five hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2333 2546 3216 3819 4666 5092 6999 7638 9332 10184 13998 15276 18664 20368 27996 30552 37328 44327 55992 61104 88654 111984 132981 156311 177308 265962 312622 354616 468933 531924 625244 709232 937866 1063848 1250488 1875732 2127696 2500976 2969909 3751464 5939818 7502928 8909727 11879636 17819454 23759272 35638908 47518544 71277816 142555632